122352500 has 60 divisors (see below), whose sum is σ = 270616500. Its totient is φ = 48384000.

The previous prime is 122352497. The next prime is 122352509. The reversal of 122352500 is 5253221.

It can be written as a sum of positive squares in 10 ways, for example, as 76492516 + 45859984 = 8746^2 + 6772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122352509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272276 + ... + 272724.

It is an arithmetic number, because the mean of its divisors is an integer number (4510275).

Almost surely, 2^122352500 is an apocalyptic number.

122352500 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 122352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135308250).

122352500 is an abundant number, since it is smaller than the sum of its proper divisors (148264000).

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

122352500 is a wasteful number, since it uses less digits than its factorization.

122352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 122352500 is about 11061.3064327863. The cubic root of 122352500 is about 496.4447807475. Note that the first 3 decimals are identical.

The spelling of 122352500 in words is "one hundred twenty-two million, three hundred fifty-two thousand, five hundred".