122152500 has 180 divisors, whose sum is σ = 396576180. Its totient is φ = 31680000.

The previous prime is 122152469. The next prime is 122152523. The reversal of 122152500 is 5251221.

122152500 is a `hidden beast` number, since 12 + 2 + 152 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 122014116 + 138384 = 11046^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1372456 + ... + 1372544.

It is an arithmetic number, because the mean of its divisors is an integer number (2203201).

Almost surely, 2^122152500 is an apocalyptic number.

122152500 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 122152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288090).

122152500 is an abundant number, since it is smaller than the sum of its proper divisors (274423680).

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

122152500 is a wasteful number, since it uses less digits than its factorization.

122152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 122152500 is about 11052.2622118732. The cubic root of 122152500 is about 496.1741334912.

It can be divided in two parts, 12 and 2152500, that added together give a palindrome (2152512).

The spelling of 122152500 in words is "one hundred twenty-two million, one hundred fifty-two thousand, five hundred".