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12020762880 = 2835575521
BaseRepresentation
bin10110011000111111…
…00100100100000000
31011000202012000200000
423030133210210000
5144104303403010
65304450400000
7603612540630
oct131437444400
934022160600
1012020762880
115109453085
1223b5890000
131197554259
148206a46c0
154a54c27c0
hex2cc7e4900

12020762880 has 432 divisors, whose sum is σ = 49301476224. Its totient is φ = 2747105280.

The previous prime is 12020762879. The next prime is 12020762909. The reversal of 12020762880 is 8826702021.

It is a happy number.

12020762880 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 7 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2174520 + ... + 2180040.

Almost surely, 212020762880 is an apocalyptic number.

12020762880 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 12020762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24650738112).

12020762880 is an abundant number, since it is smaller than the sum of its proper divisors (37280713344).

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

12020762880 is an frugal number, since it uses more digits than its factorization.

12020762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12020762880 in words is "twelve billion, twenty million, seven hundred sixty-two thousand, eight hundred eighty".