12311312400 has 90 divisors (see below), whose sum is σ = 42723686330. Its totient is φ = 3283015680.

The previous prime is 12311312381. The next prime is 12311312423. The reversal of 12311312400 is 421311321.

12311312400 is a `hidden beast` number, since 1 + 2 + 311 + 312 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24920064 + 12286392336 = 4992^2 + 110844^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1706305 + ... + 1713504.

Almost surely, 2^12311312400 is an apocalyptic number.

12311312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311312400 is an abundant number, since it is smaller than the sum of its proper divisors (30412373930).

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

12311312400 is a wasteful number, since it uses less digits than its factorization.

12311312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419833 (or 3419819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12311312400 its reverse (421311321), we get a palindrome (12732623721).

The spelling of 12311312400 in words is "twelve billion, three hundred eleven million, three hundred twelve thousand, four hundred".