122089121 has 48 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 87436800.

The previous prime is 122089111. The next prime is 122089133. The reversal of 122089121 is 121980221.

It is not a de Polignac number, because 122089121 - 2²² = 117894817 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122089111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878270 + ... + 878408.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^122089121 is an apocalyptic number.

122089121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122089121 is a deficient number, since it is larger than the sum of its proper divisors (44150239).

122089121 is a wasteful number, since it uses less digits than its factorization.

122089121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 122089121 is about 11049.3945988004. The cubic root of 122089121 is about 496.0883050915.

Subtracting from 122089121 its reverse (121980221), we obtain a square (108900 = 330²).

The spelling of 122089121 in words is "one hundred twenty-two million, eighty-nine thousand, one hundred twenty-one".