122770249344 has 256 divisors, whose sum is σ = 390301286400. Its totient is φ = 37880663040.

The previous prime is 122770249333. The next prime is 122770249361. The reversal of 122770249344 is 443942077221.

122770249344 is a `hidden beast` number, since 12 + 277 + 0 + 24 + 9 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122770249344.

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, 2439217 + ... + 2489039.

It is an arithmetic number, because the mean of its divisors is an integer number (1524614400).

Almost surely, 2^122770249344 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 122770249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195150643200).

122770249344 is an abundant number, since it is smaller than the sum of its proper divisors (267531037056).

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

122770249344 is a wasteful number, since it uses less digits than its factorization.

122770249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49900 (or 49882 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 122770249344 in words is "one hundred twenty-two billion, seven hundred seventy million, two hundred forty-nine thousand, three hundred forty-four".