12657120 has 96 divisors (see below), whose sum is σ = 45577728. Its totient is φ = 2892288.

The previous prime is 12657119. The next prime is 12657121. The reversal of 12657120 is 2175621.

It is an interprime number because it is at equal distance from previous prime (12657119) and next prime (12657121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657121) 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, 1477 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (474768).

Almost surely, 2^12657120 is an apocalyptic number.

12657120 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 12657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788864).

12657120 is an abundant number, since it is smaller than the sum of its proper divisors (32920608).

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

12657120 is a wasteful number, since it uses less digits than its factorization.

12657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 12657120 is about 3557.6846403244. The cubic root of 12657120 is about 233.0477776608.

It can be divided in two parts, 1265 and 7120, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 12657120 in words is "twelve million, six hundred fifty-seven thousand, one hundred twenty".