122112122122 has 16 divisors (see below), whose sum is σ = 188313120072. Its totient is φ = 59351834880.

The previous prime is 122112122117. The next prime is 122112122269. The reversal of 122112122122 is 221221211221.

It can be written as a sum of positive squares in 4 ways, for example, as 87557401801 + 34554720321 = 295901^2 + 185889^2 .

It is a super-2 number, since 2×122112122122² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122112122122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2665323 + ... + 2710750.

Almost surely, 2^122112122122 is an apocalyptic number.

122112122122 is a deficient number, since it is larger than the sum of its proper divisors (66200997950).

122112122122 is a wasteful number, since it uses less digits than its factorization.

122112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376393.

The product of its digits is 128, while the sum is 19.

Adding to 122112122122 its reverse (221221211221), we get a palindrome (343333333343).

The spelling of 122112122122 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".