122264205 has 32 divisors (see below), whose sum is σ = 233293824. Its totient is φ = 53461056.

The previous prime is 122264189. The next prime is 122264209. The reversal of 122264205 is 502462221.

122264205 = 1852² + 1853² + ... + 1886².

It is a happy number.

It is not a de Polignac number, because 122264205 - 2⁴ = 122264189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122264209) 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, 22899 + ... + 27728.

It is an arithmetic number, because the mean of its divisors is an integer number (7290432).

Almost surely, 2^122264205 is an apocalyptic number.

122264205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122264205 is a deficient number, since it is larger than the sum of its proper divisors (111029619).

122264205 is a wasteful number, since it uses less digits than its factorization.

122264205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50665.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122264205 is about 11057.3145473935. The cubic root of 122264205 is about 496.3253331398.

The spelling of 122264205 in words is "one hundred twenty-two million, two hundred sixty-four thousand, two hundred five".