12368880 has 120 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3210240.

The previous prime is 12368869. The next prime is 12368887. The reversal of 12368880 is 8886321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29311 + ... + 29729.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^12368880 is an apocalyptic number.

12368880 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 12368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

12368880 is an abundant number, since it is smaller than the sum of its proper divisors (30284640).

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

12368880 is a wasteful number, since it uses less digits than its factorization.

12368880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12368880 is about 3516.9418533720. The cubic root of 12368880 is about 231.2651141814.

The spelling of 12368880 in words is "twelve million, three hundred sixty-eight thousand, eight hundred eighty".