122368517825 has 48 divisors (see below), whose sum is σ = 155655216000. Its totient is φ = 95399884800.

The previous prime is 122368517807. The next prime is 122368517857. The reversal of 122368517825 is 528715863221.

It is not a de Polignac number, because 122368517825 - 2¹⁴ = 122368501441 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103613735 + ... + 103614915.

It is an arithmetic number, because the mean of its divisors is an integer number (3242817000).

Almost surely, 2^122368517825 is an apocalyptic number.

It is an amenable number.

122368517825 is a deficient number, since it is larger than the sum of its proper divisors (33286698175).

122368517825 is a wasteful number, since it uses less digits than its factorization.

122368517825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1797 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The spelling of 122368517825 in words is "one hundred twenty-two billion, three hundred sixty-eight million, five hundred seventeen thousand, eight hundred twenty-five".