122728752 has 120 divisors (see below), whose sum is σ = 373468160. Its totient is φ = 37480320.

The previous prime is 122728747. The next prime is 122728757. The reversal of 122728752 is 257827221.

It is an interprime number because it is at equal distance from previous prime (122728747) and next prime (122728757).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122728757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84093 + ... + 85539.

Almost surely, 2^122728752 is an apocalyptic number.

122728752 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 122728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186734080).

122728752 is an abundant number, since it is smaller than the sum of its proper divisors (250739408).

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

122728752 is a wasteful number, since it uses less digits than its factorization.

122728752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1502 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 122728752 is about 11078.3009527635. The cubic root of 122728752 is about 496.9531403392.

The spelling of 122728752 in words is "one hundred twenty-two million, seven hundred twenty-eight thousand, seven hundred fifty-two".