122427648 has 108 divisors (see below), whose sum is σ = 403469248. Its totient is φ = 34974720.

The previous prime is 122427611. The next prime is 122427653. The reversal of 122427648 is 846724221.

122427648 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 7 + 648 = 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.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12333 + ... + 19923.

Almost surely, 2^122427648 is an apocalyptic number.

122427648 is a gapful number since it is divisible by the number (18) 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 122427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201734624).

122427648 is an abundant number, since it is smaller than the sum of its proper divisors (281041600).

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

122427648 is an equidigital number, since it uses as much as digits as its factorization.

122427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7603 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 122427648 is about 11064.7027976354. The cubic root of 122427648 is about 496.5463975163.

The spelling of 122427648 in words is "one hundred twenty-two million, four hundred twenty-seven thousand, six hundred forty-eight".