122109504 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 32808960.

The previous prime is 122109499. The next prime is 122109587. The reversal of 122109504 is 405901221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 682087 + ... + 682265.

Almost surely, 2^122109504 is an apocalyptic number.

122109504 is the 5907-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

122109504 is an abundant number, since it is smaller than the sum of its proper divisors (272911296).

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

122109504 is a wasteful number, since it uses less digits than its factorization.

122109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 122109504 is about 11050.3169185322. The cubic root of 122109504 is about 496.1159111691.

The spelling of 122109504 in words is "one hundred twenty-two million, one hundred nine thousand, five hundred four".