122558106889 has 27 divisors (see below), whose sum is σ = 132654739917. Its totient is φ = 113216842200.

The previous prime is 122558106877. The next prime is 122558106907. The reversal of 122558106889 is 988601855221.

The square root of 122558106889 is 350083.

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

It is not a de Polignac number, because 122558106889 - 2¹³ = 122558098697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122558106689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249608934 + ... + 249609424.

Almost surely, 2^122558106889 is an apocalyptic number.

122558106889 is the 350083-rd square number.

122558106889 is the 175042-nd centered octagonal number.

It is an amenable number.

122558106889 is a deficient number, since it is larger than the sum of its proper divisors (10096633028).

122558106889 is an frugal number, since it uses more digits than its factorization.

122558106889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 55.

The spelling of 122558106889 in words is "one hundred twenty-two billion, five hundred fifty-eight million, one hundred six thousand, eight hundred eighty-nine".