12314909520 has 320 divisors, whose sum is σ = 43706131200. Its totient is φ = 3225609216.

The previous prime is 12314909501. The next prime is 12314909521. The reversal of 12314909520 is 2590941321.

12314909520 is a `hidden beast` number, since 12 + 31 + 4 + 90 + 9 + 520 = 666.

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 (12314909521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10322044 + ... + 10323236.

It is an arithmetic number, because the mean of its divisors is an integer number (136581660).

Almost surely, 2^12314909520 is an apocalyptic number.

12314909520 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 12314909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21853065600).

12314909520 is an abundant number, since it is smaller than the sum of its proper divisors (31391221680).

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

12314909520 is an equidigital number, since it uses as much as digits as its factorization.

12314909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12314909520 in words is "twelve billion, three hundred fourteen million, nine hundred nine thousand, five hundred twenty".