121175117313849 has 27 divisors (see below), whose sum is σ = 179197969341807. Its totient is φ = 78903802884816.

The previous prime is 121175117313713. The next prime is 121175117313869. The reversal of 121175117313849 is 948313711571121.

The square root of 121175117313849 is 11007957.

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

121175117313849 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 7 + 511 + 73 + 13 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38014068458025 + 83161048855824 = 6165555^2 + 9119268^2 .

It is not a de Polignac number, because 121175117313849 - 2⁹ = 121175117313337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121175117313795 and 121175117313804.

It is not an unprimeable number, because it can be changed into a prime (121175117313869) 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, 1419983787 + ... + 1420069119.

Almost surely, 2^{121175117313849} is an apocalyptic number.

121175117313849 is the 11007957-th square number.

121175117313849 is the 5503979-th centered octagonal number.

It is an amenable number.

121175117313849 is a deficient number, since it is larger than the sum of its proper divisors (58022852027958).

121175117313849 is an frugal number, since it uses more digits than its factorization.

121175117313849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170758 (or 85379 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 121175117313849 in words is "one hundred twenty-one trillion, one hundred seventy-five billion, one hundred seventeen million, three hundred thirteen thousand, eight hundred forty-nine".