122200309 has 16 divisors (see below), whose sum is σ = 153933696. Its totient is φ = 94233600.

The previous prime is 122200291. The next prime is 122200327. The reversal of 122200309 is 903002221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122200291) and next prime (122200327).

It is a cyclic number.

It is not a de Polignac number, because 122200309 - 2⁵ = 122200277 is a prime.

It is a super-3 number, since 3×122200309³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 15649.

It is an arithmetic number, because the mean of its divisors is an integer number (9620856).

Almost surely, 2^122200309 is an apocalyptic number.

It is an amenable number.

122200309 is a deficient number, since it is larger than the sum of its proper divisors (31733387).

122200309 is a wasteful number, since it uses less digits than its factorization.

122200309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 122200309 is about 11054.4248606610. The cubic root of 122200309 is about 496.2388572178.

The spelling of 122200309 in words is "one hundred twenty-two million, two hundred thousand, three hundred nine".