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12027357900 = 2235521732861
BaseRepresentation
bin10110011001110001…
…01110101011001100
31011001012121002100000
423030320232223030
5144113000423100
65305244004300
7604022566245
oct131470565314
934035532300
1012027357900
115112148008
1223b7b30690
131198a2302c
148214ddccc
154a5d76900
hex2cce2eacc

12027357900 has 216 divisors, whose sum is σ = 39335076144. Its totient is φ = 3187641600.

The previous prime is 12027357883. The next prime is 12027357911. The reversal of 12027357900 is 975372021.

12027357900 is a `hidden beast` number, since 12 + 0 + 2 + 73 + 579 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4202470 + ... + 4205330.

It is an arithmetic number, because the mean of its divisors is an integer number (182106834).

Almost surely, 212027357900 is an apocalyptic number.

12027357900 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 12027357900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667538072).

12027357900 is an abundant number, since it is smaller than the sum of its proper divisors (27307718244).

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

12027357900 is a wasteful number, since it uses less digits than its factorization.

12027357900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 12027357900 in words is "twelve billion, twenty-seven million, three hundred fifty-seven thousand, nine hundred".