12457120 has 96 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 4472832.

The previous prime is 12457111. The next prime is 12457127. The reversal of 12457120 is 2175421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1140624 + 11316496 = 1068^2 + 3364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12457091 and 12457100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12457127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110184 + ... + 110296.

Almost surely, 2^12457120 is an apocalyptic number.

12457120 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 12457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

12457120 is an abundant number, since it is smaller than the sum of its proper divisors (20120432).

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

12457120 is a wasteful number, since it uses less digits than its factorization.

12457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 12457120 is about 3529.4645486249. The cubic root of 12457120 is about 231.8137625478.

The spelling of 12457120 in words is "twelve million, four hundred fifty-seven thousand, one hundred twenty".