332120304000 has 1024 divisors, whose sum is σ = 1319041152000. Its totient is φ = 81865728000.

The previous prime is 332120303971. The next prime is 332120304029. The reversal of 332120304000 is 403021233.

It is an interprime number because it is at equal distance from previous prime (332120303971) and next prime (332120304029).

It is a super-2 number, since 2×332120304000² (a number of 24 digits) contains 22 as substring.

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

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, 352943530 + ... + 352944470.

It is an arithmetic number, because the mean of its divisors is an integer number (1288126125).

Almost surely, 2^332120304000 is an apocalyptic number.

332120304000 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 332120304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659520576000).

332120304000 is an abundant number, since it is smaller than the sum of its proper divisors (986920848000).

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

332120304000 is a wasteful number, since it uses less digits than its factorization.

332120304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 332120304000 its reverse (403021233), we get a palindrome (332523325233).

The spelling of 332120304000 in words is "three hundred thirty-two billion, one hundred twenty million, three hundred four thousand".