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12222110112 = 253472708801
BaseRepresentation
bin10110110000111111…
…01001100110100000
31011112210001112010220
423120133221212200
5200012330010422
65340442123040
7611606136042
oct133037514640
934483045126
1012222110112
115202076253
1224511b0480
1311ca190824
1483d317a92
154b7ee5e5c
hex2d87e99a0

12222110112 has 48 divisors (see below), whose sum is σ = 32765668992. Its totient is φ = 3987353600.

The previous prime is 12222110111. The next prime is 12222110123. The reversal of 12222110112 is 21101122221.

12222110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12222110091 and 12222110100.

It is not an unprimeable number, because it can be changed into a prime (12222110111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1349889 + ... + 1358912.

It is an arithmetic number, because the mean of its divisors is an integer number (682618104).

Almost surely, 212222110112 is an apocalyptic number.

12222110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12222110112 is an abundant number, since it is smaller than the sum of its proper divisors (20543558880).

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

12222110112 is a wasteful number, since it uses less digits than its factorization.

12222110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708861 (or 2708853 counting only the distinct ones).

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

Adding to 12222110112 its reverse (21101122221), we get a palindrome (33323232333).

The spelling of 12222110112 in words is "twelve billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 2708801 5417602 8126403 10835204 16252806 21670408 32505612 43340816 65011224 86681632 127313647 130022448 254627294 260044896 381940941 509254588 763881882 1018509176 1527763764 2037018352 3055527528 4074036704 6111055056 12222110112