122505581 has 16 divisors (see below), whose sum is σ = 140107968. Its totient is φ = 106108800.

The previous prime is 122505533. The next prime is 122505589. The reversal of 122505581 is 185505221.

It is a cyclic number.

It is not a de Polignac number, because 122505581 - 2¹⁴ = 122489197 is a prime.

It is a super-2 number, since 2×122505581² = 30015234752295122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122505589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16235 + ... + 22551.

It is an arithmetic number, because the mean of its divisors is an integer number (8756748).

Almost surely, 2^122505581 is an apocalyptic number.

122505581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122505581 is a deficient number, since it is larger than the sum of its proper divisors (17602387).

122505581 is a wasteful number, since it uses less digits than its factorization.

122505581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412.

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 122505581 is about 11068.2239315981. The cubic root of 122505581 is about 496.6517363098.

The spelling of 122505581 in words is "one hundred twenty-two million, five hundred five thousand, five hundred eighty-one".