331132212000 has 336 divisors, whose sum is σ = 1219840490232. Its totient is φ = 88301145600.

The previous prime is 331132211959. The next prime is 331132212001. The reversal of 331132212000 is 212231133.

331132212000 is a `hidden beast` number, since 331 + 1 + 322 + 12 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45681367824 + 285450844176 = 213732^2 + 534276^2 .

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

It is not an unprimeable number, because it can be changed into a prime (331132212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2859222 + ... + 2972778.

Almost surely, 2^331132212000 is an apocalyptic number.

331132212000 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 331132212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609920245116).

331132212000 is an abundant number, since it is smaller than the sum of its proper divisors (888708278232).

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

331132212000 is an equidigital number, since it uses as much as digits as its factorization.

331132212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113600 (or 113567 counting only the distinct ones).

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

Adding to 331132212000 its reverse (212231133), we get a palindrome (331344443133).

The spelling of 331132212000 in words is "three hundred thirty-one billion, one hundred thirty-two million, two hundred twelve thousand".