122949812164 has 27 divisors (see below), whose sum is σ = 228585440167. Its totient is φ = 57853124864.

The previous prime is 122949812131. The next prime is 122949812179. The reversal of 122949812164 is 461218949221.

The square root of 122949812164 is 350642.

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

122949812164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5163572164 + 117786240000 = 71858^2 + 343200^2 .

It is a super-2 number, since 2×122949812164² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11916672 + ... + 11926984.

Almost surely, 2^122949812164 is an apocalyptic number.

122949812164 is the 350642-nd square number.

It is an amenable number.

122949812164 is a deficient number, since it is larger than the sum of its proper divisors (105635628003).

122949812164 is an frugal number, since it uses more digits than its factorization.

122949812164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 10332 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 122949812164 by its sum of digits (49), we get a square (6024540796036 = 2454494²).

The spelling of 122949812164 in words is "one hundred twenty-two billion, nine hundred forty-nine million, eight hundred twelve thousand, one hundred sixty-four".