122635752 has 64 divisors (see below), whose sum is σ = 318504960. Its totient is φ = 39307200.

The previous prime is 122635727. The next prime is 122635757. The reversal of 122635752 is 257536221.

It is not an unprimeable number, because it can be changed into a prime (122635757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141673 + ... + 142535.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^122635752 is an apocalyptic number.

122635752 is a gapful number since it is divisible by the number (12) 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 122635752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159252480).

122635752 is an abundant number, since it is smaller than the sum of its proper divisors (195869208).

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

122635752 is a wasteful number, since it uses less digits than its factorization.

122635752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 122635752 is about 11074.1027627524. The cubic root of 122635752 is about 496.8275834504.

The spelling of 122635752 in words is "one hundred twenty-two million, six hundred thirty-five thousand, seven hundred fifty-two".