122826226176 has 320 divisors, whose sum is σ = 386941484160. Its totient is φ = 38335610880.

The previous prime is 122826226129. The next prime is 122826226213. The reversal of 122826226176 is 671622628221.

122826226176 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 6 + 22 + 617 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49585450 + ... + 49587926.

It is an arithmetic number, because the mean of its divisors is an integer number (1209192138).

Almost surely, 2^122826226176 is an apocalyptic number.

122826226176 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 122826226176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193470742080).

122826226176 is an abundant number, since it is smaller than the sum of its proper divisors (264115257984).

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

122826226176 is a wasteful number, since it uses less digits than its factorization.

122826226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2710 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 122826226176 in words is "one hundred twenty-two billion, eight hundred twenty-six million, two hundred twenty-six thousand, one hundred seventy-six".