112827521320900 has 27 divisors (see below), whose sum is σ = 244835951764621. Its totient is φ = 45130966040240.

The previous prime is 112827521320889. The next prime is 112827521320919. The reversal of 112827521320900 is 9023125728211.

The square root of 112827521320900 is 10622030.

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

It can be written as a sum of positive squares in only one way, i.e., 40617907675524 + 72209613645376 = 6373218^2 + 8497624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105689199 + ... + 106751401.

Almost surely, 2^{112827521320900} is an apocalyptic number.

112827521320900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112827521320900 is the 10622030-th square number.

It is an amenable number.

112827521320900 is an abundant number, since it is smaller than the sum of its proper divisors (132008430443721).

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

112827521320900 is an frugal number, since it uses more digits than its factorization.

112827521320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124420 (or 1062210 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 112827521320900 in words is "one hundred twelve trillion, eight hundred twenty-seven billion, five hundred twenty-one million, three hundred twenty thousand, nine hundred".