31112012400 has 240 divisors, whose sum is σ = 116979131904. Its totient is φ = 6919050240.

The previous prime is 31112012389. The next prime is 31112012401. The reversal of 31112012400 is 421021113.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31112012400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260749 + ... + 360851.

Almost surely, 2^31112012400 is an apocalyptic number.

31112012400 is a gapful number since it is divisible by the number (30) 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 31112012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58489565952).

31112012400 is an abundant number, since it is smaller than the sum of its proper divisors (85867119504).

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

31112012400 is a wasteful number, since it uses less digits than its factorization.

31112012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100168 (or 100157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31112012400 its reverse (421021113), we get a palindrome (31533033513).

The spelling of 31112012400 in words is "thirty-one billion, one hundred twelve million, twelve thousand, four hundred".