122823792 has 270 divisors, whose sum is σ = 437184072. Its totient is φ = 32078592.

The previous prime is 122823791. The next prime is 122823817. The reversal of 122823792 is 297328221.

122823792 is a `hidden beast` number, since 1 + 2 + 282 + 379 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24192) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122823791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192413 + ... + 1192515.

Almost surely, 2^122823792 is an apocalyptic number.

122823792 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 122823792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592036).

122823792 is an abundant number, since it is smaller than the sum of its proper divisors (314360280).

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

122823792 is a wasteful number, since it uses less digits than its factorization.

122823792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 122823792 is about 11082.5895890807. The cubic root of 122823792 is about 497.0813858653.

The spelling of 122823792 in words is "one hundred twenty-two million, eight hundred twenty-three thousand, seven hundred ninety-two".