122724261 has 32 divisors (see below), whose sum is σ = 199463040. Its totient is φ = 73958400.

The previous prime is 122724229. The next prime is 122724263. The reversal of 122724261 is 162427221.

It is not a de Polignac number, because 122724261 - 2⁵ = 122724229 is a prime.

It is a super-2 number, since 2×122724261² = 30122488475992242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122724263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56251 + ... + 58391.

It is an arithmetic number, because the mean of its divisors is an integer number (6233220).

Almost surely, 2^122724261 is an apocalyptic number.

122724261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122724261 is a deficient number, since it is larger than the sum of its proper divisors (76738779).

122724261 is a wasteful number, since it uses less digits than its factorization.

122724261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 122724261 is about 11078.0982573725. The cubic root of 122724261 is about 496.9470786143.

The spelling of 122724261 in words is "one hundred twenty-two million, seven hundred twenty-four thousand, two hundred sixty-one".