12745920 has 224 divisors, whose sum is σ = 47402496. Its totient is φ = 2867200.

The previous prime is 12745919. The next prime is 12745921. The reversal of 12745920 is 2954721.

It is an interprime number because it is at equal distance from previous prime (12745919) and next prime (12745921).

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

It is not an unprimeable number, because it can be changed into a prime (12745921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179485 + ... + 179555.

Almost surely, 2^12745920 is an apocalyptic number.

12745920 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 12745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701248).

12745920 is an abundant number, since it is smaller than the sum of its proper divisors (34656576).

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

12745920 is a wasteful number, since it uses less digits than its factorization.

12745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12745920 is about 3570.1428542847. The cubic root of 12745920 is about 233.5915146727.

The spelling of 12745920 in words is "twelve million, seven hundred forty-five thousand, nine hundred twenty".