122048257851936 has 2304 divisors, whose sum is σ = 438310653580800. Its totient is φ = 33232998629376.

The previous prime is 122048257851787. The next prime is 122048257851977. The reversal of 122048257851936 is 639158752840221.

It is a happy number.

122048257851936 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 8 + 2 + 578 + 51 + 9 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 362161002360 + ... + 362161002696.

It is an arithmetic number, because the mean of its divisors is an integer number (190238998950).

It is a 2-persistent number, because it is pandigital, and so is 2⋅122048257851936 = 244096515703872, but 3⋅122048257851936 = 366144773555808 is not.

Almost surely, 2^{122048257851936} is an apocalyptic number.

122048257851936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122048257851936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219155326790400).

122048257851936 is an abundant number, since it is smaller than the sum of its proper divisors (316262395728864).

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

122048257851936 is a wasteful number, since it uses less digits than its factorization.

122048257851936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 122048257851936 in words is "one hundred twenty-two trillion, forty-eight billion, two hundred fifty-seven million, eight hundred fifty-one thousand, nine hundred thirty-six".