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22112133121122 = 23112269114764987
BaseRepresentation
bin1010000011100011000011…
…10101110000010001100010
32220021220021120120010001220
411001301201311300101202
510344241122034333442
6115010101305035510
74441356162232302
oct501614165602142
986256246503056
1022112133121122
117055780759450
122591590785b96
13c4521bc5b645
1456633931d602
152852c2366eec
hex141c61d70462

22112133121122 has 32 divisors (see below), whose sum is σ = 48246783508224. Its totient is φ = 6700350646800.

The previous prime is 22112133121021. The next prime is 22112133121139.

22112133121122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221121331211222 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22112133121092 and 22112133121101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5884888 + ... + 8880099.

It is an arithmetic number, because the mean of its divisors is an integer number (1507711984632).

Almost surely, 222112133121122 is an apocalyptic number.

22112133121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112133121122 is an abundant number, since it is smaller than the sum of its proper divisors (26134650387102).

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

22112133121122 is a wasteful number, since it uses less digits than its factorization.

22112133121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787694.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2211213 and 3121122, that added together give a palindrome (5332335).

The spelling of 22112133121122 in words is "twenty-two trillion, one hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 22691 45382 68073 136146 249601 499202 748803 1497606 14764987 29529974 44294961 88589922 162414857 324829714 487244571 974489142 335032320017 670064640034 1005096960051 2010193920102 3685355520187 7370711040374 11056066560561 22112133121122