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102220121202120 = 233251267122409027
BaseRepresentation
bin10111001111011111111010…
…000000110101110111001000
3111101221011000000001001001100
4113033133322000311313020
5101344233302011431440
61001223135253021400
730350105616040215
oct2717377200656710
9441834000031040
10102220121202120
112a630345600119
12b56ab3b924860
13450641552c22c
141b356a1bb8b0c
15bc3ea742e230
hex5cf7fa035dc8

102220121202120 has 96 divisors (see below), whose sum is σ = 332241627294720. Its totient is φ = 27256546504320.

The previous prime is 102220121202107. The next prime is 102220121202149. The reversal of 102220121202120 is 21202121022201.

It is a happy number.

102220121202120 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 121 + 202 + 120 = 666.

It is a super-2 number, since 2×1022201212021202 (a number of 29 digits) contains 22 as substring.

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 = 102220121202093 and 102220121202102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6642954 + ... + 15766073.

It is an arithmetic number, because the mean of its divisors is an integer number (3460850284320).

Almost surely, 2102220121202120 is an apocalyptic number.

102220121202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220121202120 is an abundant number, since it is smaller than the sum of its proper divisors (230021506092600).

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

102220121202120 is a wasteful number, since it uses less digits than its factorization.

102220121202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22421715 (or 22421708 counting only the distinct ones).

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

Adding to 102220121202120 its reverse (21202121022201), we get a palindrome (123422242224321).

The spelling of 102220121202120 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12671 25342 38013 50684 63355 76026 101368 114039 126710 152052 190065 228078 253420 304104 380130 456156 506840 570195 760260 912312 1140390 1520520 2280780 4561560 22409027 44818054 67227081 89636108 112045135 134454162 179272216 201681243 224090270 268908324 336135405 403362486 448180540 537816648 672270810 806724972 896361080 1008406215 1344541620 1613449944 2016812430 2689083240 4033624860 8067249720 283944781117 567889562234 851834343351 1135779124468 1419723905585 1703668686702 2271558248936 2555503030053 2839447811170 3407337373404 4259171716755 5111006060106 5678895622340 6814674746808 8518343433510 10222012120212 11357791244680 12777515150265 17036686867020 20444024240424 25555030300530 34073373734040 51110060601060 102220121202120