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121221020210202 = 232112322503462377
BaseRepresentation
bin11011100011111111110111…
…110110010101010000011010
3120220012121122022201110110200
4123203333313312111100122
5111342041122133211302
61105452100133323030
734350633612550653
oct3343776766252032
9526177568643420
10121221020210202
1135696600757350
1211719542496476
135284129884483
1421d11b316c52a
15e0338493181c
hex6e3ff7d9541a

121221020210202 has 144 divisors (see below), whose sum is σ = 299641850883648. Its totient is φ = 35122413870720.

The previous prime is 121221020210201. The next prime is 121221020210219. The reversal of 121221020210202 is 202012020122121.

It is a happy number.

121221020210202 is a `hidden beast` number, since 1 + 21 + 2 + 210 + 20 + 210 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121221020210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261938038 + ... + 262400414.

It is an arithmetic number, because the mean of its divisors is an integer number (2080846186692).

Almost surely, 2121221020210202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221020210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149820925441824).

121221020210202 is an abundant number, since it is smaller than the sum of its proper divisors (178420830673446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221020210202 is a wasteful number, since it uses less digits than its factorization.

121221020210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464945 (or 464919 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121221020210202 its reverse (202012020122121), we get a palindrome (323233040332323).

It can be divided in two parts, 1212210 and 20210202, that added together give a palindrome (21422412).

The spelling of 121221020210202 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 529 759 1058 1518 1587 2277 2503 3174 4554 4761 5006 5819 7509 9522 11638 15018 17457 22527 27533 34914 45054 52371 55066 57569 82599 104742 115138 165198 172707 247797 345414 462377 495594 518121 633259 924754 1036242 1266518 1324087 1387131 1899777 2648174 2774262 3799554 3972261 4161393 5086147 5699331 7944522 8322786 10172294 10634671 11398662 11916783 14564957 15258441 21269342 23833566 29129914 30516882 31904013 43694871 45775323 63808026 87389742 91550646 95712039 116981381 131084613 191424078 233962762 244597433 262169226 350944143 489194866 701888286 733792299 1052832429 1157329631 1467584598 2105664858 2201376897 2314659262 2690571763 3471988893 4402753794 5381143526 6943977786 8071715289 10415966679 12730625941 16143430578 20831933358 24215145867 25461251882 26618581513 38191877823 48430291734 53237163026 76383755646 79855744539 114575633469 159711489078 229151266938 239567233617 292804396643 479134467234 585608793286 612227374799 878413189929 1224454749598 1756826379858 1836682124397 2635239569787 3673364248794 5270479139574 5510046373191 6734501122789 11020092746382 13469002245578 20203503368367 40407006736734 60610510105101 121221020210202