122150304 has 144 divisors (see below), whose sum is σ = 374741640. Its totient is φ = 37601280.

The previous prime is 122150299. The next prime is 122150333. The reversal of 122150304 is 403051221.

It can be written as a sum of positive squares in 4 ways, for example, as 111260304 + 10890000 = 10548^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298452 + ... + 298860.

Almost surely, 2^122150304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187370820).

122150304 is an abundant number, since it is smaller than the sum of its proper divisors (252591336).

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

122150304 is a wasteful number, since it uses less digits than its factorization.

122150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122150304 is about 11052.1628652495. The cubic root of 122150304 is about 496.1711601452.

It can be divided in two parts, 122 and 150304, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 122150304 in words is "one hundred twenty-two million, one hundred fifty thousand, three hundred four".