332332310013120 has 448 divisors, whose sum is σ = 1188689065482240. Its totient is φ = 87390716092416.

The previous prime is 332332310013097. The next prime is 332332310013149. The reversal of 332332310013120 is 21310013233233.

332332310013120 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 32 + 310 + 0 + 1 + 312 + 0 = 666.

It is a super-2 number, since 2×332332310013120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3372410569 + ... + 3372509111.

It is an arithmetic number, because the mean of its divisors is an integer number (2653323806880).

Almost surely, 2^{332332310013120} is an apocalyptic number.

332332310013120 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 332332310013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594344532741120).

332332310013120 is an abundant number, since it is smaller than the sum of its proper divisors (856356755469120).

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

332332310013120 is a wasteful number, since it uses less digits than its factorization.

332332310013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103989 (or 103973 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332332310013120 its reverse (21310013233233), we get a palindrome (353642323246353).

The spelling of 332332310013120 in words is "three hundred thirty-two trillion, three hundred thirty-two billion, three hundred ten million, thirteen thousand, one hundred twenty".