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12019927392 = 2533114771379
BaseRepresentation
bin10110011000111000…
…11000100101100000
31011000200121120121000
423030130120211200
5144104100134032
65304420432000
7603602461044
oct131434304540
934020546530
1012019927392
115108a323a0
1223b5548600
131197320b95
14820528024
154a53a9e7c
hex2cc718960

12019927392 has 384 divisors, whose sum is σ = 39713587200. Its totient is φ = 3505420800.

The previous prime is 12019927363. The next prime is 12019927393. The reversal of 12019927392 is 29372991021.

12019927392 is a `hidden beast` number, since 1 + 201 + 99 + 273 + 92 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12019927393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31714659 + ... + 31715037.

It is an arithmetic number, because the mean of its divisors is an integer number (103420800).

Almost surely, 212019927392 is an apocalyptic number.

12019927392 is a gapful number since it is divisible by the number (12) 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 12019927392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

12019927392 is an abundant number, since it is smaller than the sum of its proper divisors (27693659808).

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

12019927392 is a wasteful number, since it uses less digits than its factorization.

12019927392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12019927392 in words is "twelve billion, nineteen million, nine hundred twenty-seven thousand, three hundred ninety-two".