122256792 has 192 divisors, whose sum is σ = 422323200. Its totient is φ = 31104000.

The previous prime is 122256787. The next prime is 122256913. The reversal of 122256792 is 297652221.

It is a happy number.

122256792 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 567 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162417 + ... + 163167.

It is an arithmetic number, because the mean of its divisors is an integer number (2199600).

Almost surely, 2^122256792 is an apocalyptic number.

122256792 is a gapful number since it is divisible by the number (12) 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 122256792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211161600).

122256792 is an abundant number, since it is smaller than the sum of its proper divisors (300066408).

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

122256792 is a wasteful number, since it uses less digits than its factorization.

122256792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 799 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122256792 is about 11056.9793343390. The cubic root of 122256792 is about 496.3153020380.

The spelling of 122256792 in words is "one hundred twenty-two million, two hundred fifty-six thousand, seven hundred ninety-two".