33042000120 has 64 divisors (see below), whose sum is σ = 99138625920. Its totient is φ = 8810077824.

The previous prime is 33042000107. The next prime is 33042000137. The reversal of 33042000120 is 2100024033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33042000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412439 + ... + 1435641.

It is an arithmetic number, because the mean of its divisors is an integer number (1549041030).

Almost surely, 2^33042000120 is an apocalyptic number.

33042000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33042000120 is an abundant number, since it is smaller than the sum of its proper divisors (66096625800).

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

33042000120 is a wasteful number, since it uses less digits than its factorization.

33042000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35084 (or 35080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 33042000120 its reverse (2100024033), we get a palindrome (35142024153).

The spelling of 33042000120 in words is "thirty-three billion, forty-two million, one hundred twenty", and thus it is an aban number.