122211122121009 has 12 divisors (see below), whose sum is σ = 178274970224052. Its totient is φ = 80667407340000.

The previous prime is 122211122120987. The next prime is 122211122121029. The reversal of 122211122121009 is 900121221112221.

122211122121009 is a `hidden beast` number, since 1 + 2 + 221 + 1 + 1 + 221 + 210 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68860587939984 + 53350534181025 = 8298228^2 + 7304145^2 .

It is not a de Polignac number, because 122211122121009 - 2¹⁷ = 122211121989937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211122121029) 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, 67222838542 + ... + 67222840359.

It is an arithmetic number, because the mean of its divisors is an integer number (14856247518671).

Almost surely, 2^{122211122121009} is an apocalyptic number.

It is an amenable number.

122211122121009 is a deficient number, since it is larger than the sum of its proper divisors (56063848103043).

122211122121009 is a wasteful number, since it uses less digits than its factorization.

122211122121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134445679008 (or 134445679005 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 122211122121009 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, nine".