122111000009973 has 96 divisors (see below), whose sum is σ = 206333981568000. Its totient is φ = 71144475854400.

The previous prime is 122111000009903. The next prime is 122111000009983. The reversal of 122111000009973 is 379900000111221.

It is not a de Polignac number, because 122111000009973 - 2²⁹ = 122110463139061 is a prime.

It is a super-2 number, since 2×122111000009973² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111000009903) 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 95 ways as a sum of consecutive naturals, for example, 134708898 + ... + 135612348.

It is an arithmetic number, because the mean of its divisors is an integer number (2149312308000).

Almost surely, 2^{122111000009973} is an apocalyptic number.

122111000009973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122111000009973 is a deficient number, since it is larger than the sum of its proper divisors (84222981558027).

122111000009973 is a wasteful number, since it uses less digits than its factorization.

122111000009973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905064 (or 905045 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 122111000009973 in words is "one hundred twenty-two trillion, one hundred eleven billion, nine thousand, nine hundred seventy-three".