12972120 has 64 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 2964864.

The previous prime is 12972107. The next prime is 12972131. The reversal of 12972120 is 2127921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6882 + ... + 8561.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 2^12972120 is an apocalyptic number.

12972120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12972120 is an abundant number, since it is smaller than the sum of its proper divisors (31506600).

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

12972120 is a wasteful number, since it uses less digits than its factorization.

12972120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12972120 is about 3601.6829399602. The cubic root of 12972120 is about 234.9652581808.

The spelling of 12972120 in words is "twelve million, nine hundred seventy-two thousand, one hundred twenty".