122405904 has 120 divisors (see below), whose sum is σ = 374177440. Its totient is φ = 38631168.

The previous prime is 122405903. The next prime is 122405911. The reversal of 122405904 is 409504221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122405903) 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, 73044 + ... + 74700.

Almost surely, 2^122405904 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 122405904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187088720).

122405904 is an abundant number, since it is smaller than the sum of its proper divisors (251771536).

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

122405904 is a wasteful number, since it uses less digits than its factorization.

122405904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122405904 is about 11063.7201699971. The cubic root of 122405904 is about 496.5169990803.

The spelling of 122405904 in words is "one hundred twenty-two million, four hundred five thousand, nine hundred four".