12314545200 has 360 divisors, whose sum is σ = 44286385728. Its totient is φ = 3166801920.

The previous prime is 12314545193. The next prime is 12314545231. The reversal of 12314545200 is 254541321.

12314545200 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 454 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12351102 + ... + 12352098.

Almost surely, 2^12314545200 is an apocalyptic number.

12314545200 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 12314545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143192864).

12314545200 is an abundant number, since it is smaller than the sum of its proper divisors (31971840528).

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

12314545200 is a wasteful number, since it uses less digits than its factorization.

12314545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12314545200 in words is "twelve billion, three hundred fourteen million, five hundred forty-five thousand, two hundred".