122837472 has 72 divisors (see below), whose sum is σ = 362279736. Its totient is φ = 40943232.

The previous prime is 122837453. The next prime is 122837483. The reversal of 122837472 is 274738221.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 15674.

It is an arithmetic number, because the mean of its divisors is an integer number (5031663).

Almost surely, 2^122837472 is an apocalyptic number.

122837472 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 122837472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181139868).

122837472 is an abundant number, since it is smaller than the sum of its proper divisors (239442264).

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

122837472 is an equidigital number, since it uses as much as digits as its factorization.

122837472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822 (or 15802 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 122837472 is about 11083.2067561694. The cubic root of 122837472 is about 497.0998400013.

The spelling of 122837472 in words is "one hundred twenty-two million, eight hundred thirty-seven thousand, four hundred seventy-two".