12900160 has 112 divisors (see below), whose sum is σ = 37892736. Its totient is φ = 4073472.

The previous prime is 12900149. The next prime is 12900191. The reversal of 12900160 is 6100921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×12900160³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28899 + ... + 29341.

It is an arithmetic number, because the mean of its divisors is an integer number (338328).

Almost surely, 2^12900160 is an apocalyptic number.

12900160 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 12900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946368).

12900160 is an abundant number, since it is smaller than the sum of its proper divisors (24992576).

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

12900160 is a wasteful number, since it uses less digits than its factorization.

12900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 12900160 is about 3591.6792729864. The cubic root of 12900160 is about 234.5299795127.

The spelling of 12900160 in words is "twelve million, nine hundred thousand, one hundred sixty".