122112012121011 has 128 divisors (see below), whose sum is σ = 208818299289600. Its totient is φ = 69748883930880.

The previous prime is 122112012120919. The next prime is 122112012121067. The reversal of 122112012121011 is 110121210211221.

It is a happy number.

122112012121011 is a `hidden beast` number, since 1 + 221 + 1 + 201 + 21 + 210 + 11 = 666.

It is not a de Polignac number, because 122112012121011 - 2¹⁵ = 122112012088243 is a prime.

It is a super-2 number, since 2×122112012121011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112012121511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078890655 + ... + 1079003831.

It is an arithmetic number, because the mean of its divisors is an integer number (1631392963200).

Almost surely, 2^{122112012121011} is an apocalyptic number.

122112012121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122112012121011 is a deficient number, since it is larger than the sum of its proper divisors (86706287168589).

122112012121011 is a wasteful number, since it uses less digits than its factorization.

122112012121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114206 (or 114200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112012121011 its reverse (110121210211221), we get a palindrome (232233222332232).

The spelling of 122112012121011 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, one hundred twenty-one thousand, eleven".