122162500 has 72 divisors (see below), whose sum is σ = 277247880. Its totient is φ = 47040000.

The previous prime is 122162477. The next prime is 122162539. The reversal of 122162500 is 5261221.

It can be written as a sum of positive squares in 12 ways, for example, as 121572676 + 589824 = 11026^2 + 768^2 .

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, 362332 + ... + 362668.

It is an arithmetic number, because the mean of its divisors is an integer number (3850665).

Almost surely, 2^122162500 is an apocalyptic number.

122162500 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 122162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623940).

122162500 is an abundant number, since it is smaller than the sum of its proper divisors (155085380).

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

122162500 is an equidigital number, since it uses as much as digits as its factorization.

122162500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 122162500 is about 11052.7145986857. The cubic root of 122162500 is about 496.1876728673.

The spelling of 122162500 in words is "one hundred twenty-two million, one hundred sixty-two thousand, five hundred".