12966120 has 48 divisors (see below), whose sum is σ = 42141060. Its totient is φ = 3457536.

The previous prime is 12966119. The next prime is 12966131. The reversal of 12966120 is 2166921.

12966120 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 can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 49284 = 3594^2 + 222^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17649 + ... + 18368.

Almost surely, 2^12966120 is an apocalyptic number.

12966120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12966120 is an abundant number, since it is smaller than the sum of its proper divisors (29174940).

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

12966120 is a wasteful number, since it uses less digits than its factorization.

12966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36034 (or 36027 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12966120 is about 3600.8498996765. The cubic root of 12966120 is about 234.9290264017.

The spelling of 12966120 in words is "twelve million, nine hundred sixty-six thousand, one hundred twenty".