331201221312000 has 1280 divisors, whose sum is σ = 1239281088933888. Its totient is φ = 77935037644800.

The previous prime is 331201221311977. The next prime is 331201221312079. The reversal of 331201221312000 is 213122102133.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5044383172 + ... + 5044448828.

Almost surely, 2^{331201221312000} is an apocalyptic number.

331201221312000 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 331201221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619640544466944).

331201221312000 is an abundant number, since it is smaller than the sum of its proper divisors (908079867621888).

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

331201221312000 is a wasteful number, since it uses less digits than its factorization.

331201221312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65796 (or 65770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331201221312000 its reverse (213122102133), we get a palindrome (331414343414133).

The spelling of 331201221312000 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred twenty-one million, three hundred twelve thousand".