33772120125 has 32 divisors (see below), whose sum is σ = 56212141440. Its totient is φ = 18006883200.

The previous prime is 33772120061. The next prime is 33772120147. The reversal of 33772120125 is 52102127733.

It is not a de Polignac number, because 33772120125 - 2⁶ = 33772120061 is a prime.

It is a super-2 number, since 2×33772120125² (a number of 22 digits) contains 22 as substring.

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, 1671081 + ... + 1691169.

It is an arithmetic number, because the mean of its divisors is an integer number (1756629420).

Almost surely, 2^33772120125 is an apocalyptic number.

It is an amenable number.

33772120125 is a deficient number, since it is larger than the sum of its proper divisors (22440021315).

33772120125 is a wasteful number, since it uses less digits than its factorization.

33772120125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24590 (or 24580 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

Adding to 33772120125 its reverse (52102127733), we get a palindrome (85874247858).

The spelling of 33772120125 in words is "thirty-three billion, seven hundred seventy-two million, one hundred twenty thousand, one hundred twenty-five".