122827118089 has 9 divisors (see below), whose sum is σ = 133007079303. Its totient is φ = 113374672632.

The previous prime is 122827118087. The next prime is 122827118137. The reversal of 122827118089 is 980811728221.

The square root of 122827118089 is 350467.

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., 18169692025 + 104657426064 = 134795^2 + 323508^2 .

It is not a de Polignac number, because 122827118089 - 2¹ = 122827118087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122827118083) 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, 4542592 + ... + 4569550.

It is an arithmetic number, because the mean of its divisors is an integer number (14778564367).

Almost surely, 2^122827118089 is an apocalyptic number.

122827118089 is the 350467-th square number.

122827118089 is the 175234-th centered octagonal number.

It is an amenable number.

122827118089 is a deficient number, since it is larger than the sum of its proper divisors (10179961214).

122827118089 is an frugal number, since it uses more digits than its factorization.

122827118089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53944 (or 26972 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 49.

Multiplying 122827118089 by its sum of digits (49), we get a square (6018528786361 = 2453269²).

The spelling of 122827118089 in words is "one hundred twenty-two billion, eight hundred twenty-seven million, one hundred eighteen thousand, eighty-nine".