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122100102211332 = 22372126776834649
BaseRepresentation
bin11011110000110010100101…
…001110000010011100000100
3121000022122201001121002202010
4123300302211032002130010
5112000442002131230312
61111404002415414220
734501304233353030
oct3360624516023404
9530278631532663
10122100102211332
11359a53a9611a73
121183b999224370
135318cb470994b
1422219683891c0
15e1b18580c93c
hex6f0ca5382704

122100102211332 has 48 divisors (see below), whose sum is σ = 325601851164800. Its totient is φ = 34885574353152.

The previous prime is 122100102211301. The next prime is 122100102211369. The reversal of 122100102211332 is 233112201001221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122100102211299 and 122100102211308.

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, 14447544 + ... + 21282192.

Almost surely, 2122100102211332 is an apocalyptic number.

122100102211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100102211332 is an abundant number, since it is smaller than the sum of its proper divisors (203501748953468).

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

122100102211332 is a wasteful number, since it uses less digits than its factorization.

122100102211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047340 (or 7047338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122100102211332 its reverse (233112201001221), we get a palindrome (355212303212553).

The spelling of 122100102211332 in words is "one hundred twenty-two trillion, one hundred billion, one hundred two million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 212677 425354 638031 850708 1276062 1488739 2552124 2977478 4466217 5954956 6834649 8932434 13669298 17864868 20503947 27338596 41007894 47842543 82015788 95685086 143527629 191370172 287055258 574110516 1453572645373 2907145290746 4360717936119 5814290581492 8721435872238 10175008517611 17442871744476 20350017035222 30525025552833 40700034070444 61050051105666 122100102211332