12938160 has 160 divisors (see below), whose sum is σ = 43425792. Its totient is φ = 3179520.

The previous prime is 12938137. The next prime is 12938179. The reversal of 12938160 is 6183921.

12938160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275257 + ... + 275303.

Almost surely, 2^12938160 is an apocalyptic number.

12938160 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 12938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712896).

12938160 is an abundant number, since it is smaller than the sum of its proper divisors (30487632).

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

12938160 is a wasteful number, since it uses less digits than its factorization.

12938160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12938160 is about 3596.9653876567. The cubic root of 12938160 is about 234.7600387441.

It can be divided in two parts, 1293 and 8160, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 12938160 in words is "twelve million, nine hundred thirty-eight thousand, one hundred sixty".