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122020120022010 = 235712719559233917
BaseRepresentation
bin11011101111101000000101…
…111010001100101111111010
3121000001000020221222220101220
4123233220011322030233322
5111443134201211201020
61111303134055452510
734462443216101430
oct3357500572145772
9530030227886356
10122020120022010
1135974495770361
1211828397387136
1353115a919c8c2
14221bb3bb28d50
15e19053bab240
hex6efa05e8cbfa

122020120022010 has 128 divisors (see below), whose sum is σ = 337337751306240. Its totient is φ = 27669171366144.

The previous prime is 122020120021993. The next prime is 122020120022029. The reversal of 122020120022010 is 10220021020221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521521572 + ... + 521755488.

It is an arithmetic number, because the mean of its divisors is an integer number (2635451182080).

Almost surely, 2122020120022010 is an apocalyptic number.

122020120022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020120022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168668875653120).

122020120022010 is an abundant number, since it is smaller than the sum of its proper divisors (215317631284230).

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

122020120022010 is a wasteful number, since it uses less digits than its factorization.

122020120022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253620.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122020120022010 its reverse (10220021020221), we get a palindrome (132240141042231).

The spelling of 122020120022010 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1270 1778 1905 2667 3810 4445 5334 8890 13335 19559 26670 39118 58677 97795 117354 136913 195590 233917 273826 293385 410739 467834 586770 684565 701751 821478 1169585 1369130 1403502 1637419 2053695 2339170 2483993 3274838 3508755 4107390 4912257 4967986 7017510 7451979 8187095 9824514 12419965 14903958 16374190 17387951 24561285 24839930 29707459 34775902 37259895 49122570 52163853 59414918 74519790 86939755 89122377 104327706 148537295 173879510 178244754 207952213 260819265 297074590 415904426 445611885 521638530 623856639 891223770 1039761065 1247713278 2079522130 3119283195 4575182603 6238566390 9150365206 13725547809 22875913015 27451095618 32026278221 45751826030 64052556442 68627739045 96078834663 137255478090 160131391105 192157669326 320262782210 480394173315 581048190581 960788346630 1162096381162 1743144571743 2905240952905 3486289143486 4067337334067 5810481905810 8134674668134 8715722858715 12202012002201 17431445717430 20336686670335 24404024004402 40673373340670 61010060011005 122020120022010