122111220013013 has 32 divisors (see below), whose sum is σ = 157229793902592. Its totient is φ = 92037554755200.

The previous prime is 122111220012983. The next prime is 122111220013039. The reversal of 122111220013013 is 310310022111221.

It is not a de Polignac number, because 122111220013013 - 2⁸ = 122111220012757 is a prime.

It is a super-2 number, since 2×122111220013013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111220013043) 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 31 ways as a sum of consecutive naturals, for example, 7474256 + ... + 17323017.

It is an arithmetic number, because the mean of its divisors is an integer number (4913431059456).

Almost surely, 2^{122111220013013} is an apocalyptic number.

It is an amenable number.

122111220013013 is a deficient number, since it is larger than the sum of its proper divisors (35118573889579).

122111220013013 is a wasteful number, since it uses less digits than its factorization.

122111220013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24799385.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122111220013013 its reverse (310310022111221), we get a palindrome (432421242124234).

The spelling of 122111220013013 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, thirteen thousand, thirteen".