122554003104 has 240 divisors, whose sum is σ = 390468050280. Its totient is φ = 37707171840.

The previous prime is 122554003097. The next prime is 122554003127. The reversal of 122554003104 is 401300455221.

122554003104 is a `hidden beast` number, since 1 + 2 + 2 + 554 + 0 + 0 + 3 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5220351504 + 117333651600 = 72252^2 + 342540^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5683864 + ... + 5705384.

Almost surely, 2^122554003104 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 122554003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195234025140).

122554003104 is an abundant number, since it is smaller than the sum of its proper divisors (267914047176).

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

122554003104 is an equidigital number, since it uses as much as digits as its factorization.

122554003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 122554003104 its reverse (401300455221), we get a palindrome (523854458325).

The spelling of 122554003104 in words is "one hundred twenty-two billion, five hundred fifty-four million, three thousand, one hundred four".