33121002120 has 128 divisors (see below), whose sum is σ = 102166202880. Its totient is φ = 8584704000.

The previous prime is 33121002053. The next prime is 33121002139. The reversal of 33121002120 is 2120012133.

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 33121002120.

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, 1320900 + ... + 1345740.

It is an arithmetic number, because the mean of its divisors is an integer number (798173460).

Almost surely, 2^33121002120 is an apocalyptic number.

33121002120 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 33121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51083101440).

33121002120 is an abundant number, since it is smaller than the sum of its proper divisors (69045200760).

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

33121002120 is a wasteful number, since it uses less digits than its factorization.

33121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25167 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33121002120 its reverse (2120012133), we get a palindrome (35241014253).

The spelling of 33121002120 in words is "thirty-three billion, one hundred twenty-one million, two thousand, one hundred twenty".