332011003002120 has 96 divisors (see below), whose sum is σ = 1162038510523800. Its totient is φ = 81725785353216.

The previous prime is 332011003002113. The next prime is 332011003002167. The reversal of 332011003002120 is 21200300110233.

332011003002120 is a `hidden beast` number, since 3 + 320 + 1 + 1 + 0 + 0 + 300 + 21 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219470773186116 + 112540229816004 = 14814546^2 + 10608498^2 .

It is a super-2 number, since 2×332011003002120² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332011003002093 and 332011003002102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35471256325 + ... + 35471265684.

Almost surely, 2^{332011003002120} is an apocalyptic number.

332011003002120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332011003002120 is an abundant number, since it is smaller than the sum of its proper divisors (830027507521680).

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

332011003002120 is a wasteful number, since it uses less digits than its factorization.

332011003002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70942522039 (or 70942522032 counting only the distinct ones).

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

Adding to 332011003002120 its reverse (21200300110233), we get a palindrome (353211303112353).

The spelling of 332011003002120 in words is "three hundred thirty-two trillion, eleven billion, three million, two thousand, one hundred twenty".