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1122102002120 = 235114270159723
BaseRepresentation
bin10000010101000010011…
…111011100000111001000
310222021100012212210210212
4100111002133130013020
5121341031103031440
62215253032100252
7144032506434341
oct20250237340710
93867305783725
101122102002120
113a2976366350
12161579834688
1381a76ac2138
143c44a9db0c8
151e2c602c465
hex105427dc1c8

1122102002120 has 64 divisors (see below), whose sum is σ = 2754360987840. Its totient is φ = 408020704000.

The previous prime is 1122102002081. The next prime is 1122102002171. The reversal of 1122102002120 is 212002012211.

It is a super-2 number, since 2×11221020021202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122102002095 and 1122102002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18758579 + ... + 18818301.

It is an arithmetic number, because the mean of its divisors is an integer number (43036890435).

Almost surely, 21122102002120 is an apocalyptic number.

1122102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122102002120 is an abundant number, since it is smaller than the sum of its proper divisors (1632258985720).

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

1122102002120 is a wasteful number, since it uses less digits than its factorization.

1122102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102446 (or 102442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1122102002120 its reverse (212002012211), we get a palindrome (1334104014331).

The spelling of 1122102002120 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 42701 59723 85402 119446 170804 213505 238892 298615 341608 427010 469711 477784 597230 656953 854020 939422 1194460 1313906 1708040 1878844 2348555 2388920 2627812 3284765 3757688 4697110 5255624 6569530 9394220 13139060 18788440 26278120 2550231823 5100463646 10200927292 12751159115 20401854584 25502318230 28052550053 51004636460 56105100106 102009272920 112210200212 140262750265 224420400424 280525500530 561051001060 1122102002120