122653440 has 540 divisors, whose sum is σ = 543123504. Its totient is φ = 25878528.

The previous prime is 122653439. The next prime is 122653459. The reversal of 122653440 is 44356221.

122653440 is a `hidden beast` number, since 1 + 2 + 2 + 653 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9434874 + ... + 9434886.

Almost surely, 2^122653440 is an apocalyptic number.

122653440 is a gapful number since it is divisible by the number (10) 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 122653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271561752).

122653440 is an abundant number, since it is smaller than the sum of its proper divisors (420470064).

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

122653440 is an equidigital number, since it uses as much as digits as its factorization.

122653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122653440 is about 11074.9013539625. The cubic root of 122653440 is about 496.8514684477.

The spelling of 122653440 in words is "one hundred twenty-two million, six hundred fifty-three thousand, four hundred forty".