331112112000 has 256 divisors, whose sum is σ = 1127308553280. Its totient is φ = 85909708800.

The previous prime is 331112111999. The next prime is 331112112013. The reversal of 331112112000 is 211211133.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682782 + ... + 1869218.

Almost surely, 2^331112112000 is an apocalyptic number.

331112112000 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 331112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563654276640).

331112112000 is an abundant number, since it is smaller than the sum of its proper divisors (796196441280).

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

331112112000 is a wasteful number, since it uses less digits than its factorization.

331112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186506 (or 186484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 331112112000 its reverse (211211133), we get a palindrome (331323323133).

The spelling of 331112112000 in words is "three hundred thirty-one billion, one hundred twelve million, one hundred twelve thousand".