122200013 has 12 divisors (see below), whose sum is σ = 132798708. Its totient is φ = 112394880.

The previous prime is 122200007. The next prime is 122200021. The reversal of 122200013 is 310002221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40424164 + 81775849 = 6358^2 + 9043^2 .

It is not a de Polignac number, because 122200013 - 2⁶ = 122199949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122199967 and 122200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52433 + ... + 54713.

It is an arithmetic number, because the mean of its divisors is an integer number (11066559).

Almost surely, 2^122200013 is an apocalyptic number.

122200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122200013 is a deficient number, since it is larger than the sum of its proper divisors (10598695).

122200013 is a wasteful number, since it uses less digits than its factorization.

122200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 122200013 is about 11054.4114723489. The cubic root of 122200013 is about 496.2384565455.

Adding to 122200013 its reverse (310002221), we get a palindrome (432202234).

The spelling of 122200013 in words is "one hundred twenty-two million, two hundred thousand, thirteen".