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12011922720 = 25325723743107
BaseRepresentation
bin10110010111111011…
…10110010100100000
31011000010112220020200
423023331312110200
5144100023011340
65303533105200
7603444441600
oct131375662440
934003486220
1012011922720
115104465366
1223b2928200
13119577a5a5
1481d442c00
154a4828330
hex2cbf76520

12011922720 has 864 divisors, whose sum is σ = 50578976448. Its totient is φ = 2584866816.

The previous prime is 12011922701. The next prime is 12011922731. The reversal of 12011922720 is 2722911021.

12011922720 is a `hidden beast` number, since 1 + 201 + 192 + 272 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112260907 + ... + 112261013.

It is an arithmetic number, because the mean of its divisors is an integer number (58540482).

Almost surely, 212011922720 is an apocalyptic number.

12011922720 is a gapful number since it is divisible by the number (10) 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 12011922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25289488224).

12011922720 is an abundant number, since it is smaller than the sum of its proper divisors (38567053728).

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

12011922720 is a wasteful number, since it uses less digits than its factorization.

12011922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12011922720 in words is "twelve billion, eleven million, nine hundred twenty-two thousand, seven hundred twenty".