122735525 has 24 divisors (see below), whose sum is σ = 166757184. Its totient is φ = 88870400.

The previous prime is 122735519. The next prime is 122735533. The reversal of 122735525 is 525537221.

It is not a de Polignac number, because 122735525 - 2²⁰ = 121686949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122735491 and 122735500.

It is a congruent number.

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, 71477 + ... + 73173.

It is an arithmetic number, because the mean of its divisors is an integer number (6948216).

Almost surely, 2^122735525 is an apocalyptic number.

It is an amenable number.

122735525 is a deficient number, since it is larger than the sum of its proper divisors (44021659).

122735525 is a wasteful number, since it uses less digits than its factorization.

122735525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1976 counting only the distinct ones).

The product of its digits is 21000, while the sum is 32.

The square root of 122735525 is about 11078.6066362156. The cubic root of 122735525 is about 496.9622819126.

The spelling of 122735525 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, five hundred twenty-five".