331220120000 has 560 divisors, whose sum is σ = 1057317550080. Its totient is φ = 99878400000.

The previous prime is 331220119999. The next prime is 331220120003. The reversal of 331220120000 is 21022133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220120003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 95478266 + ... + 95481734.

Almost surely, 2^331220120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528658775040).

331220120000 is an abundant number, since it is smaller than the sum of its proper divisors (726097430080).

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

331220120000 is a wasteful number, since it uses less digits than its factorization.

331220120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 331220120000 its reverse (21022133), we get a palindrome (331241142133).

The spelling of 331220120000 in words is "three hundred thirty-one billion, two hundred twenty million, one hundred twenty thousand".