332130012000 has 768 divisors, whose sum is σ = 1164067946496. Its totient is φ = 82667520000.

The previous prime is 332130011987. The next prime is 332130012001. The reversal of 332130012000 is 210031233.

It is a super-2 number, since 2×332130012000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332130012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225571865 + ... + 1225572135.

It is an arithmetic number, because the mean of its divisors is an integer number (1515713472).

Almost surely, 2^332130012000 is an apocalyptic number.

332130012000 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 332130012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582033973248).

332130012000 is an abundant number, since it is smaller than the sum of its proper divisors (831937934496).

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

332130012000 is a wasteful number, since it uses less digits than its factorization.

332130012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 332130012000 its reverse (210031233), we get a palindrome (332340043233).

The spelling of 332130012000 in words is "three hundred thirty-two billion, one hundred thirty million, twelve thousand".