117828114121 has 3 divisors (see below), whose sum is σ = 117828457383. Its totient is φ = 117827770860.

The previous prime is 117828114083. The next prime is 117828114149. The reversal of 117828114121 is 121411828711.

The square root of 117828114121 is 343261.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 121411828711 = 83 ⋅1462793117.

It can be written as a sum of positive squares in only one way, i.e., 20970225721 + 96857888400 = 144811^2 + 311220^2 .

It is not a de Polignac number, because 117828114121 - 2⁹ = 117828113609 is a prime.

It is a super-2 number, since 2×117828114121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117828114161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 171631 + ... + 514891.

It is an arithmetic number, because the mean of its divisors is an integer number (39276152461).

Almost surely, 2^117828114121 is an apocalyptic number.

117828114121 is the 343261-st square number.

117828114121 is the 171631-st centered octagonal number.

It is an amenable number.

117828114121 is a deficient number, since it is larger than the sum of its proper divisors (343262).

117828114121 is an frugal number, since it uses more digits than its factorization.

117828114121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686522 (or 343261 counting only the distinct ones).

The product of its digits is 7168, while the sum is 37.

The spelling of 117828114121 in words is "one hundred seventeen billion, eight hundred twenty-eight million, one hundred fourteen thousand, one hundred twenty-one".