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12880969920 = 2634571343127
BaseRepresentation
bin10111111111100010…
…00000000011000000
31020020200211001220000
423333301000003000
5202340012014140
65530055520000
7634126303110
oct137761000300
936220731800
1012880969920
11550aa76395
1225b5989000
1312a38273c0
148a2a23040
15505c8da30
hex2ffc400c0

12880969920 has 1120 divisors, whose sum is σ = 58159546368. Its totient is φ = 2633637888.

The previous prime is 12880969909. The next prime is 12880969967. The reversal of 12880969920 is 2996908821.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101424897 + ... + 101425023.

Almost surely, 212880969920 is an apocalyptic number.

12880969920 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 12880969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29079773184).

12880969920 is an abundant number, since it is smaller than the sum of its proper divisors (45278576448).

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

12880969920 is a wasteful number, since it uses less digits than its factorization.

12880969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 12880969920 in words is "twelve billion, eight hundred eighty million, nine hundred sixty-nine thousand, nine hundred twenty".