122815202500 has 135 divisors (see below), whose sum is σ = 276660645723. Its totient is φ = 47689236000.

The previous prime is 122815202467. The next prime is 122815202519. The reversal of 122815202500 is 5202518221.

The square root of 122815202500 is 350450.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9628711876 + 113186490624 = 98126^2 + 336432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 753467419 + ... + 753467581.

Almost surely, 2^122815202500 is an apocalyptic number.

122815202500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122815202500 is the 350450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122815202500

122815202500 is an abundant number, since it is smaller than the sum of its proper divisors (153845443223).

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

122815202500 is an frugal number, since it uses more digits than its factorization.

122815202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 122815202500 in words is "one hundred twenty-two billion, eight hundred fifteen million, two hundred two thousand, five hundred".