122805504 has 144 divisors (see below), whose sum is σ = 368737600. Its totient is φ = 40310784.

The previous prime is 122805499. The next prime is 122805509. The reversal of 122805504 is 405508221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122805499) and next prime (122805509).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122805509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753327 + ... + 753489.

Almost surely, 2^122805504 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 122805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184368800).

122805504 is an abundant number, since it is smaller than the sum of its proper divisors (245932096).

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

122805504 is a wasteful number, since it uses less digits than its factorization.

With its successor (122805505) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (297).

122805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 122805504 is about 11081.7644804426. The cubic root of 122805504 is about 497.0567134587.

The spelling of 122805504 in words is "one hundred twenty-two million, eight hundred five thousand, five hundred four".