33120013233120 has 192 divisors, whose sum is σ = 114819600639744. Its totient is φ = 7958040043520.

The previous prime is 33120013233113. The next prime is 33120013233137. The reversal of 33120013233120 is 2133231002133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27158802 + ... + 28352081.

It is an arithmetic number, because the mean of its divisors is an integer number (598018753332).

Almost surely, 2^{33120013233120} is an apocalyptic number.

33120013233120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120013233120 is an abundant number, since it is smaller than the sum of its proper divisors (81699587406624).

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

33120013233120 is a wasteful number, since it uses less digits than its factorization.

33120013233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55511025 (or 55511017 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 33120013233120 its reverse (2133231002133), we get a palindrome (35253244235253).

The spelling of 33120013233120 in words is "thirty-three trillion, one hundred twenty billion, thirteen million, two hundred thirty-three thousand, one hundred twenty".