12314880 has 108 divisors (see below), whose sum is σ = 42648060. Its totient is φ = 3280896.

The previous prime is 12314873. The next prime is 12314891. The reversal of 12314880 is 8841321.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 7225344 = 2256^2 + 2688^2 .

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 11 ways as a sum of consecutive naturals, for example, 10986 + ... + 12054.

Almost surely, 2^12314880 is an apocalyptic number.

12314880 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 12314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21324030).

12314880 is an abundant number, since it is smaller than the sum of its proper divisors (30333180).

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

12314880 is a wasteful number, since it uses less digits than its factorization.

12314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12314880 is about 3509.2563314754. The cubic root of 12314880 is about 230.9280711566.

The spelling of 12314880 in words is "twelve million, three hundred fourteen thousand, eight hundred eighty".