122768325 has 48 divisors (see below), whose sum is σ = 226771200. Its totient is φ = 65116800.

The previous prime is 122768323. The next prime is 122768357. The reversal of 122768325 is 523867221.

It is not a de Polignac number, because 122768325 - 2¹ = 122768323 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (40320) is a multiple of the sum of its prime divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 122768325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122768323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160945 + ... + 161705.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^122768325 is an apocalyptic number.

122768325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122768325 is a deficient number, since it is larger than the sum of its proper divisors (104002875).

122768325 is a wasteful number, since it uses less digits than its factorization.

122768325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 122768325 is about 11080.0868678905. The cubic root of 122768325 is about 497.0065475834.

The spelling of 122768325 in words is "one hundred twenty-two million, seven hundred sixty-eight thousand, three hundred twenty-five".