122945760 has 144 divisors (see below), whose sum is σ = 479527776. Its totient is φ = 28099584.

The previous prime is 122945759. The next prime is 122945791. The reversal of 122945760 is 67549221.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982 + ... + 16178.

It is an arithmetic number, because the mean of its divisors is an integer number (3330054).

Almost surely, 2^122945760 is an apocalyptic number.

122945760 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 122945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239763888).

122945760 is an abundant number, since it is smaller than the sum of its proper divisors (356582016).

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

122945760 is a wasteful number, since it uses less digits than its factorization.

122945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 122945760 is about 11088.0909087182. The cubic root of 122945760 is about 497.2458707315.

The spelling of 122945760 in words is "one hundred twenty-two million, nine hundred forty-five thousand, seven hundred sixty".