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12263054112 = 253271599719
BaseRepresentation
bin10110110101110111…
…10101101100100000
31011122122002200202100
423122323311230200
5200103320212422
65344503450400
7612614145231
oct133273655440
934578080670
1012263054112
1152231a1071
122462a56a00
1312057c7c4a
14844935088
154bb8d27ac
hex2daef5b20

12263054112 has 72 divisors (see below), whose sum is σ = 35364288960. Its totient is φ = 4030104960.

The previous prime is 12263054071. The next prime is 12263054113. The reversal of 12263054112 is 21145036221.

12263054112 is a `hidden beast` number, since 1 + 22 + 630 + 5 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12263054113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279412 + ... + 320307.

It is an arithmetic number, because the mean of its divisors is an integer number (491170680).

Almost surely, 212263054112 is an apocalyptic number.

12263054112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12263054112 is an abundant number, since it is smaller than the sum of its proper divisors (23101234848).

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

12263054112 is a wasteful number, since it uses less digits than its factorization.

12263054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599806 (or 599795 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12263054112 in words is "twelve billion, two hundred sixty-three million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 599719 1199438 1799157 2398876 3598314 4797752 5397471 7196628 9595504 10794942 14393256 19191008 21589884 28786512 42580049 43179768 57573024 85160098 86359536 127740147 170320196 172719072 255480294 340640392 383220441 510960588 681280784 766440882 1021921176 1362561568 1532881764 2043842352 3065763528 4087684704 6131527056 12263054112