122453856 has 240 divisors, whose sum is σ = 436889376. Its totient is φ = 32845824.

The previous prime is 122453843. The next prime is 122453897. The reversal of 122453856 is 658354221.

122453856 is a `hidden beast` number, since 122 + 453 + 85 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122453856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308250 + ... + 308646.

Almost surely, 2^122453856 is an apocalyptic number.

122453856 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 122453856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218444688).

122453856 is an abundant number, since it is smaller than the sum of its proper divisors (314435520).

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

122453856 is a wasteful number, since it uses less digits than its factorization.

122453856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 122453856 is about 11065.8870408115. The cubic root of 122453856 is about 496.5818267670.

The spelling of 122453856 in words is "one hundred twenty-two million, four hundred fifty-three thousand, eight hundred fifty-six".