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12707337720 = 233571123137109
BaseRepresentation
bin10111101010110101…
…01001010111111000
31012210121002122021210
423311122221113320
5202011034301340
65500534203120
7626620405560
oct136532512770
935717078253
1012707337720
115430a62a00
1225677b34a0
131276872a5c
14887945da0
154e58e2180
hex2f56a95f8

12707337720 has 768 divisors, whose sum is σ = 51235430400. Its totient is φ = 2463436800.

The previous prime is 12707337707. The next prime is 12707337739. The reversal of 12707337720 is 2773370721.

It is a super-2 number, since 2×127073377202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116581026 + ... + 116581134.

It is an arithmetic number, because the mean of its divisors is an integer number (66712800).

Almost surely, 212707337720 is an apocalyptic number.

12707337720 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 12707337720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25617715200).

12707337720 is an abundant number, since it is smaller than the sum of its proper divisors (38528092680).

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

12707337720 is a wasteful number, since it uses less digits than its factorization.

12707337720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 39.

The spelling of 12707337720 in words is "twelve billion, seven hundred seven million, three hundred thirty-seven thousand, seven hundred twenty".