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1221022012122 = 2331149111533631
BaseRepresentation
bin10001110001001010100…
…101010101001011011010
311022201200010022222022000
4101301022211111023122
5130001123113341442
62332532455141430
7154134030600063
oct21611245251332
94281603288260
101221022012122
11430918103a30
12178785974876
138b1ac938a33
144315244b56a
1521b65534d4c
hex11c4a9552da

1221022012122 has 128 divisors (see below), whose sum is σ = 2969472061440. Its totient is φ = 368831232000.

The previous prime is 1221022012099. The next prime is 1221022012129. The reversal of 1221022012122 is 2212102201221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1221022012095 and 1221022012104.

It is not an unprimeable number, because it can be changed into a prime (1221022012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336275247 + ... + 336278877.

It is an arithmetic number, because the mean of its divisors is an integer number (23199000480).

Almost surely, 21221022012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221022012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484736030720).

1221022012122 is an abundant number, since it is smaller than the sum of its proper divisors (1748450049318).

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

1221022012122 is a wasteful number, since it uses less digits than its factorization.

1221022012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

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

Adding to 1221022012122 its reverse (2212102201221), we get a palindrome (3433124213343).

The spelling of 1221022012122 in words is "one trillion, two hundred twenty-one billion, twenty-two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 491 594 982 1153 1473 2306 2946 3459 3631 4419 5401 6918 7262 8838 10377 10802 10893 12683 13257 16203 20754 21786 25366 26514 31131 32406 32679 38049 39941 48609 62262 65358 76098 79882 97218 98037 114147 119823 145827 196074 228294 239646 291654 342441 359469 566123 684882 718938 1078407 1132246 1698369 1782821 2156814 3396738 3565642 4186543 5095107 5348463 6227353 8373086 10190214 10696926 12454706 12559629 15285321 16045389 18682059 19611031 25119258 30570642 32090778 37364118 37678887 39222062 46051973 48136167 56046177 58833093 75357774 92103946 96272334 112092354 113036661 117666186 138155919 168138531 176499279 226073322 276311838 336277062 352998558 414467757 529497837 828935514 1058995674 1243403271 2055592613 2486806542 4111185226 6166777839 12333555678 18500333517 22611518743 37000667034 45223037486 55501000551 67834556229 111002001102 135669112458 203503668687 407007337374 610511006061 1221022012122