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12021139456 = 21153110749
BaseRepresentation
bin10110011001000010…
…00000100000000000
31011000202220011020021
423030201000200000
5144104402430311
65304502423224
7603615666544
oct131441004000
934022804207
1012021139456
11510968aaa7
1223b5a31b14
131197656791
14820761a24
154a5549171
hex2cc840800

12021139456 has 48 divisors (see below), whose sum is σ = 24490147500. Its totient is φ = 5897109504.

The previous prime is 12021139423. The next prime is 12021139463. The reversal of 12021139456 is 65493112021.

It can be written as a sum of positive squares in 2 ways, for example, as 10387686400 + 1633453056 = 101920^2 + 40416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53170 + ... + 163918.

Almost surely, 212021139456 is an apocalyptic number.

12021139456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245073750).

12021139456 is an abundant number, since it is smaller than the sum of its proper divisors (12469008044).

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

12021139456 is an equidigital number, since it uses as much as digits as its factorization.

12021139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110824 (or 110804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 12021139456 in words is "twelve billion, twenty-one million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 6784 13568 27136 54272 108544 110749 221498 442996 885992 1771984 3543968 5869697 7087936 11739394 14175872 23478788 28351744 46957576 56703488 93915152 113406976 187830304 226813952 375660608 751321216 1502642432 3005284864 6010569728 12021139456