12331112400 has 180 divisors, whose sum is σ = 42859934988. Its totient is φ = 3283107840.

The previous prime is 12331112393. The next prime is 12331112407. The reversal of 12331112400 is 421113321.

12331112400 is a `hidden beast` number, since 123 + 31 + 112 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (12331112393) and next prime (12331112407).

It can be written as a sum of positive squares in 6 ways, for example, as 2499200064 + 9831912336 = 49992^2 + 99156^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331112407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2636464 + ... + 2641136.

Almost surely, 2^12331112400 is an apocalyptic number.

12331112400 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 12331112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21429967494).

12331112400 is an abundant number, since it is smaller than the sum of its proper divisors (30528822588).

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

12331112400 is a wasteful number, since it uses less digits than its factorization.

12331112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5416 counting only the distinct ones).

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

Adding to 12331112400 its reverse (421113321), we get a palindrome (12752225721).

The spelling of 12331112400 in words is "twelve billion, three hundred thirty-one million, one hundred twelve thousand, four hundred".