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12525161220 = 22345111324159
BaseRepresentation
bin10111010101000111…
…01100101100000100
31012022220022010010000
423222203230230010
5201122420124340
65430505401300
7622246054005
oct135243545404
935286263100
1012525161220
115348144010
122516799230
131247bb9300
1486b6831ac
154d4908d30
hex2ea8ecb04

12525161220 has 360 divisors, whose sum is σ = 46425899520. Its totient is φ = 2802159360.

The previous prime is 12525161141. The next prime is 12525161239. The reversal of 12525161220 is 2216152521.

12525161220 is a `hidden beast` number, since 1 + 2 + 5 + 25 + 1 + 612 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3009501 + ... + 3013659.

It is an arithmetic number, because the mean of its divisors is an integer number (128960832).

Almost surely, 212525161220 is an apocalyptic number.

12525161220 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 12525161220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212949760).

12525161220 is an abundant number, since it is smaller than the sum of its proper divisors (33900738300).

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

12525161220 is a wasteful number, since it uses less digits than its factorization.

12525161220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

It can be divided in two parts, 1252516 and 1220, that added together give a triangular number (1253736 = T1583).

The spelling of 12525161220 in words is "twelve billion, five hundred twenty-five million, one hundred sixty-one thousand, two hundred twenty".