199129245121 has 9 divisors (see below), whose sum is σ = 199942468579. Its totient is φ = 198319321336.

The previous prime is 199129245089. The next prime is 199129245169. The reversal of 199129245121 is 121542921991.

The square root of 199129245121 is 446239.

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., 188403743025 + 10725502096 = 434055^2 + 103564^2 .

It is not a de Polignac number, because 199129245121 - 2⁵ = 199129245089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199139245121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130747266 + ... + 130748788.

Almost surely, 2^199129245121 is an apocalyptic number.

199129245121 is the 446239-th square number.

199129245121 is the 223120-th centered octagonal number.

It is an amenable number.

199129245121 is a deficient number, since it is larger than the sum of its proper divisors (813223458).

199129245121 is an frugal number, since it uses more digits than its factorization.

199129245121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 1816 counting only the distinct ones).

The product of its digits is 116640, while the sum is 46.

The spelling of 199129245121 in words is "one hundred ninety-nine billion, one hundred twenty-nine million, two hundred forty-five thousand, one hundred twenty-one".