122535002500 has 45 divisors (see below), whose sum is σ = 267997823401. Its totient is φ = 49007000000.

The previous prime is 122535002467. The next prime is 122535002519. The reversal of 122535002500 is 5200535221.

It is a happy number.

The square root of 122535002500 is 350050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 101808217476 + 20726785024 = 319074^2 + 143968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17499000 + ... + 17506000.

Almost surely, 2^122535002500 is an apocalyptic number.

122535002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122535002500 is the 350050-th square number.

It is an amenable number.

122535002500 is an abundant number, since it is smaller than the sum of its proper divisors (145462820901).

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

122535002500 is an frugal number, since it uses more digits than its factorization.

122535002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14026 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Multiplying 122535002500 by its sum of digits (25), we get a square (3063375062500 = 1750250²).

122535002500 divided by its sum of digits (25) gives a square (4901400100 = 70010²).

Adding to 122535002500 its reverse (5200535221), we get a palindrome (127735537721).

The spelling of 122535002500 in words is "one hundred twenty-two billion, five hundred thirty-five million, two thousand, five hundred".