122086881 has 36 divisors (see below), whose sum is σ = 207245844. Its totient is φ = 69048000.

The previous prime is 122086873. The next prime is 122086901. The reversal of 122086881 is 188680221.

It can be written as a sum of positive squares in 2 ways, for example, as 83448225 + 38638656 = 9135^2 + 6216^2 .

It is not a de Polignac number, because 122086881 - 2³ = 122086873 is a prime.

It is a super-2 number, since 2×122086881² = 29810413024616322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (122086801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43171 + ... + 45911.

It is an arithmetic number, because the mean of its divisors is an integer number (5756829).

Almost surely, 2^122086881 is an apocalyptic number.

It is an amenable number.

122086881 is a deficient number, since it is larger than the sum of its proper divisors (85158963).

122086881 is a wasteful number, since it uses less digits than its factorization.

122086881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122086881 is about 11049.2932353160. The cubic root of 122086881 is about 496.0852711204.

The spelling of 122086881 in words is "one hundred twenty-two million, eighty-six thousand, eight hundred eighty-one".