32224199121 has 27 divisors (see below), whose sum is σ = 47482920849. Its totient is φ = 21058794432.

The previous prime is 32224199113. The next prime is 32224199167. The reversal of 32224199121 is 12199142223.

The square root of 32224199121 is 179511.

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

32224199121 is a `hidden beast` number, since 3 + 222 + 419 + 9 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2144153025 + 30080046096 = 46305^2 + 173436^2 .

It is not a de Polignac number, because 32224199121 - 2³ = 32224199113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32224199521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28541685 + ... + 28542813.

Almost surely, 2^32224199121 is an apocalyptic number.

32224199121 is the 179511-st square number.

32224199121 is the 89756-th centered octagonal number.

It is an amenable number.

32224199121 is a deficient number, since it is larger than the sum of its proper divisors (15258721728).

32224199121 is an frugal number, since it uses more digits than its factorization.

32224199121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

Multiplying 32224199121 by its sum of digits (36), we get a square (1160071168356 = 1077066²).

The spelling of 32224199121 in words is "thirty-two billion, two hundred twenty-four million, one hundred ninety-nine thousand, one hundred twenty-one".