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12122211012 = 22317431381921
BaseRepresentation
bin10110100101000101…
…00100001011000100
31011021211002010100020
423102202210023010
5144311241223022
65322513015140
7606254044032
oct132242441304
934254063306
1012122211012
11516074360a
1224238544b0
1311b2583c32
1482dd51552
154ae36135c
hex2d28a42c4

12122211012 has 48 divisors (see below), whose sum is σ = 30645502272. Its totient is φ = 3714600960.

The previous prime is 12122210981. The next prime is 12122211037. The reversal of 12122211012 is 21011222121.

It is a junction number, because it is equal to n+sod(n) for n = 12122210982 and 12122211000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682189 + ... + 699732.

It is an arithmetic number, because the mean of its divisors is an integer number (638447964).

Almost surely, 212122211012 is an apocalyptic number.

12122211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122211012 is an abundant number, since it is smaller than the sum of its proper divisors (18523291260).

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

12122211012 is a wasteful number, since it uses less digits than its factorization.

12122211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381988 (or 1381986 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122211012 its reverse (21011222121), we get a palindrome (33133433133).

The spelling of 12122211012 in words is "twelve billion, one hundred twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 4386 8772 1381921 2763842 4145763 5527684 8291526 16583052 23492657 46985314 59422603 70477971 93970628 118845206 140955942 178267809 237690412 281911884 356535618 713071236 1010184251 2020368502 3030552753 4040737004 6061105506 12122211012