122795520 has 160 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 32071680.

The previous prime is 122795513. The next prime is 122795527. The reversal of 122795520 is 25597221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122795513) and next prime (122795527).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×122795520³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122795527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452985 + ... + 453255.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^122795520 is an apocalyptic number.

122795520 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 122795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

122795520 is an abundant number, since it is smaller than the sum of its proper divisors (277893120).

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

122795520 is an equidigital number, since it uses as much as digits as its factorization.

122795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 122795520 is about 11081.3140015072. The cubic root of 122795520 is about 497.0432429747.

The spelling of 122795520 in words is "one hundred twenty-two million, seven hundred ninety-five thousand, five hundred twenty".