12187920 has 80 divisors (see below), whose sum is σ = 38693952. Its totient is φ = 3171840.

The previous prime is 12187871. The next prime is 12187943. The reversal of 12187920 is 2978121.

12187920 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 is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9730 + ... + 10910.

Almost surely, 2^12187920 is an apocalyptic number.

12187920 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 12187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346976).

12187920 is an abundant number, since it is smaller than the sum of its proper divisors (26506032).

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

12187920 is a wasteful number, since it uses less digits than its factorization.

12187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 12187920 is about 3491.1201640734. The cubic root of 12187920 is about 230.1317455668.

The spelling of 12187920 in words is "twelve million, one hundred eighty-seven thousand, nine hundred twenty".