122361305 has 16 divisors (see below), whose sum is σ = 160406784. Its totient is φ = 88865280.

The previous prime is 122361301. The next prime is 122361307. The reversal of 122361305 is 503163221.

It is not a de Polignac number, because 122361305 - 2² = 122361301 is a prime.

It is a super-2 number, since 2×122361305² = 29944577922606050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122361301) 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, 59657 + ... + 61673.

It is an arithmetic number, because the mean of its divisors is an integer number (10025424).

Almost surely, 2^122361305 is an apocalyptic number.

It is an amenable number.

122361305 is a deficient number, since it is larger than the sum of its proper divisors (38045479).

122361305 is a wasteful number, since it uses less digits than its factorization.

122361305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 122361305 is about 11061.7044346701. The cubic root of 122361305 is about 496.4566892126.

The spelling of 122361305 in words is "one hundred twenty-two million, three hundred sixty-one thousand, three hundred five".