122259456 has 240 divisors, whose sum is σ = 404323920. Its totient is φ = 36495360.

The previous prime is 122259419. The next prime is 122259457. The reversal of 122259456 is 654952221.

122259456 is a `hidden beast` number, since 12 + 2 + 2 + 594 + 56 = 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 122259456.

It is not an unprimeable number, because it can be changed into a prime (122259457) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824735 + ... + 1824801.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 2^122259456 is an apocalyptic number.

122259456 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 122259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202161960).

122259456 is an abundant number, since it is smaller than the sum of its proper divisors (282064464).

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

122259456 is an equidigital number, since it uses as much as digits as its factorization.

122259456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 122259456 is about 11057.0998005806. The cubic root of 122259456 is about 496.3189069485.

The spelling of 122259456 in words is "one hundred twenty-two million, two hundred fifty-nine thousand, four hundred fifty-six".