122728374504 has 128 divisors (see below), whose sum is σ = 343207987200. Its totient is φ = 40634758080.

The previous prime is 122728374481. The next prime is 122728374539. The reversal of 122728374504 is 405473827221.

122728374504 is a `hidden beast` number, since 1 + 2 + 2 + 72 + 8 + 3 + 74 + 504 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 122728374504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25656897 + ... + 25661679.

It is an arithmetic number, because the mean of its divisors is an integer number (2681312400).

Almost surely, 2^122728374504 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 122728374504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171603993600).

122728374504 is an abundant number, since it is smaller than the sum of its proper divisors (220479612696).

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

122728374504 is a wasteful number, since it uses less digits than its factorization.

122728374504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 122728374504 in words is "one hundred twenty-two billion, seven hundred twenty-eight million, three hundred seventy-four thousand, five hundred four".