122924484 has 72 divisors (see below), whose sum is σ = 330515640. Its totient is φ = 38387712.

The previous prime is 122924449. The next prime is 122924539. The reversal of 122924484 is 484429221.

122924484 is a `hidden beast` number, since 122 + 92 + 448 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11410884 + 111513600 = 3378^2 + 10560^2 .

It is a super-2 number, since 2×122924484² = 30220857533332512, which contains 22 as substring.

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

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, 215752 + ... + 216320.

It is an arithmetic number, because the mean of its divisors is an integer number (4590495).

Almost surely, 2^122924484 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 122924484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165257820).

122924484 is an abundant number, since it is smaller than the sum of its proper divisors (207591156).

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

122924484 is a wasteful number, since it uses less digits than its factorization.

122924484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 944 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 122924484 is about 11087.1314594894. The cubic root of 122924484 is about 497.2171859590.

The spelling of 122924484 in words is "one hundred twenty-two million, nine hundred twenty-four thousand, four hundred eighty-four".