121178771983129 has 9 divisors (see below), whose sum is σ = 140963150924127. Its totient is φ = 103867452793944.

The previous prime is 121178771983117. The next prime is 121178771983177. The reversal of 121178771983129 is 921389177871121.

The square root of 121178771983129 is 11008123.

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., 41725437387529 + 79453334595600 = 6459523^2 + 8913660^2 .

It is not a de Polignac number, because 121178771983129 - 2¹⁵ = 121178771950361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121178771980129) 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, 76270567 + ... + 77843155.

It is an arithmetic number, because the mean of its divisors is an integer number (15662572324903).

Almost surely, 2^{121178771983129} is an apocalyptic number.

121178771983129 is the 11008123-rd square number.

121178771983129 is the 5504062-nd centered octagonal number.

It is an amenable number.

121178771983129 is a deficient number, since it is larger than the sum of its proper divisors (19784378940998).

121178771983129 is an frugal number, since it uses more digits than its factorization.

121178771983129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145192 (or 1572596 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 67.

The spelling of 121178771983129 in words is "one hundred twenty-one trillion, one hundred seventy-eight billion, seven hundred seventy-one million, nine hundred eighty-three thousand, one hundred twenty-nine".