122733440 has 128 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 46448640.

The previous prime is 122733439. The next prime is 122733467. The reversal of 122733440 is 44337221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681244 + ... + 1681316.

Almost surely, 2^122733440 is an apocalyptic number.

122733440 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 122733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

122733440 is an abundant number, since it is smaller than the sum of its proper divisors (187036480).

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

122733440 is an equidigital number, since it uses as much as digits as its factorization.

122733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 122733440 is about 11078.5125355347. The cubic root of 122733440 is about 496.9594678069.

The spelling of 122733440 in words is "one hundred twenty-two million, seven hundred thirty-three thousand, four hundred forty".