122400009 has 12 divisors (see below), whose sum is σ = 178787700. Its totient is φ = 80682624.

The previous prime is 122399987. The next prime is 122400029. The reversal of 122400009 is 900004221.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 90725625 = 5628^2 + 9525^2 .

It is not a de Polignac number, because 122400009 - 2¹⁶ = 122334473 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122399964 and 122400000.

It is not an unprimeable number, because it can be changed into a prime (122400029) 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, 75604 + ... + 77205.

It is an arithmetic number, because the mean of its divisors is an integer number (14898975).

Almost surely, 2^122400009 is an apocalyptic number.

It is an amenable number.

122400009 is a deficient number, since it is larger than the sum of its proper divisors (56387691).

122400009 is a wasteful number, since it uses less digits than its factorization.

122400009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152904 (or 152901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122400009 is about 11063.4537554961. The cubic root of 122400009 is about 496.5090282918.

The spelling of 122400009 in words is "one hundred twenty-two million, four hundred thousand, nine".