12314515400 has 96 divisors (see below), whose sum is σ = 31763815200. Its totient is φ = 4402060800.

The previous prime is 12314515393. The next prime is 12314515441. The reversal of 12314515400 is 451541321.

It is a self number, because there is not a number n which added to its sum of digits gives 12314515400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82364 + ... + 177236.

It is an arithmetic number, because the mean of its divisors is an integer number (330873075).

Almost surely, 2^12314515400 is an apocalyptic number.

12314515400 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 12314515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881907600).

12314515400 is an abundant number, since it is smaller than the sum of its proper divisors (19449299800).

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

12314515400 is a wasteful number, since it uses less digits than its factorization.

12314515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94959 (or 94950 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 12314515400 in words is "twelve billion, three hundred fourteen million, five hundred fifteen thousand, four hundred".