331213122000 has 360 divisors, whose sum is σ = 1189015819992. Its totient is φ = 85929984000.

The previous prime is 331213121933. The next prime is 331213122007. The reversal of 331213122000 is 221312133.

331213122000 is a `hidden beast` number, since 3 + 312 + 131 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 152446517136 + 178766604864 = 390444^2 + 422808^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213122007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24635280 + ... + 24648720.

Almost surely, 2^331213122000 is an apocalyptic number.

331213122000 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 331213122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594507909996).

331213122000 is an abundant number, since it is smaller than the sum of its proper divisors (857802697992).

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

331213122000 is a wasteful number, since it uses less digits than its factorization.

331213122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13544 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331213122000 its reverse (221312133), we get a palindrome (331434434133).

The spelling of 331213122000 in words is "three hundred thirty-one billion, two hundred thirteen million, one hundred twenty-two thousand".