122753281 has 24 divisors (see below), whose sum is σ = 152304000. Its totient is φ = 98358624.

The previous prime is 122753269. The next prime is 122753287. The reversal of 122753281 is 182357221.

It is not a de Polignac number, because 122753281 - 2⁹ = 122752769 is a prime.

It is a super-2 number, since 2×122753281² = 30136735992529922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122753287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72715 + ... + 74383.

It is an arithmetic number, because the mean of its divisors is an integer number (6346000).

Almost surely, 2^122753281 is an apocalyptic number.

It is an amenable number.

122753281 is a deficient number, since it is larger than the sum of its proper divisors (29550719).

122753281 is a wasteful number, since it uses less digits than its factorization.

122753281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1774 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 122753281 is about 11079.4079715479. The cubic root of 122753281 is about 496.9862457345.

The spelling of 122753281 in words is "one hundred twenty-two million, seven hundred fifty-three thousand, two hundred eighty-one".