122440104 has 192 divisors, whose sum is σ = 373464000. Its totient is φ = 36080640.

The previous prime is 122440091. The next prime is 122440127. The reversal of 122440104 is 401044221.

122440104 is a `hidden beast` number, since 122 + 440 + 104 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2075227 + ... + 2075285.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^122440104 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 122440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

122440104 is an abundant number, since it is smaller than the sum of its proper divisors (251023896).

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

122440104 is a wasteful number, since it uses less digits than its factorization.

122440104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122440104 is about 11065.2656542896. The cubic root of 122440104 is about 496.5632367741.

Adding to 122440104 its reverse (401044221), we get a palindrome (523484325).

It can be divided in two parts, 1224 and 40104, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 122440104 in words is "one hundred twenty-two million, four hundred forty thousand, one hundred four".