122395520 has 128 divisors (see below), whose sum is σ = 322842240. Its totient is φ = 44089344.

The previous prime is 122395487. The next prime is 122395541. The reversal of 122395520 is 25593221.

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

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390884 + ... + 391196.

It is an arithmetic number, because the mean of its divisors is an integer number (2522205).

Almost surely, 2^122395520 is an apocalyptic number.

122395520 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 122395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161421120).

122395520 is an abundant number, since it is smaller than the sum of its proper divisors (200446720).

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

122395520 is a wasteful number, since it uses less digits than its factorization.

122395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 122395520 is about 11063.2508784715. The cubic root of 122395520 is about 496.5029584222.

The spelling of 122395520 in words is "one hundred twenty-two million, three hundred ninety-five thousand, five hundred twenty".