122692752 has 160 divisors (see below), whose sum is σ = 433583360. Its totient is φ = 32348160.

The previous prime is 122692733. The next prime is 122692753. The reversal of 122692752 is 257296221.

It is a happy number.

It is a super-2 number, since 2×122692752² = 30107022786667008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122692753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37752 + ... + 40872.

It is an arithmetic number, because the mean of its divisors is an integer number (2709896).

Almost surely, 2^122692752 is an apocalyptic number.

122692752 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 122692752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216791680).

122692752 is an abundant number, since it is smaller than the sum of its proper divisors (310890608).

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

122692752 is a wasteful number, since it uses less digits than its factorization.

122692752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3146 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122692752 is about 11076.6760357067. The cubic root of 122692752 is about 496.9045451994.

The spelling of 122692752 in words is "one hundred twenty-two million, six hundred ninety-two thousand, seven hundred fifty-two".