331121112000 has 224 divisors, whose sum is σ = 1249557104640. Its totient is φ = 75684787200.

The previous prime is 331121111989. The next prime is 331121112017. The reversal of 331121112000 is 211121133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817480 + ... + 1153479.

Almost surely, 2^331121112000 is an apocalyptic number.

331121112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331121112000 is an abundant number, since it is smaller than the sum of its proper divisors (918435992640).

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

331121112000 is a wasteful number, since it uses less digits than its factorization.

331121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970996 (or 1970976 counting only the distinct ones).

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

Adding to 331121112000 its reverse (211121133), we get a palindrome (331332233133).

The spelling of 331121112000 in words is "three hundred thirty-one billion, one hundred twenty-one million, one hundred twelve thousand".