122111133311121 has 8 divisors (see below), whose sum is σ = 162856283688480. Its totient is φ = 81386702570592.

The previous prime is 122111133311107. The next prime is 122111133311171. The reversal of 122111133311121 is 121113331111221.

122111133311121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122111133311121 - 2⁷ = 122111133310993 is a prime.

It is a super-3 number, since 3×122111133311121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122111133311091 and 122111133311100.

It is not an unprimeable number, because it can be changed into a prime (122111133311171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179895455 + ... + 5179919028.

It is an arithmetic number, because the mean of its divisors is an integer number (20357035461060).

Almost surely, 2^{122111133311121} is an apocalyptic number.

It is an amenable number.

122111133311121 is a deficient number, since it is larger than the sum of its proper divisors (40745150377359).

122111133311121 is a wasteful number, since it uses less digits than its factorization.

122111133311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359818415.

The product of its digits is 216, while the sum is 24.

Adding to 122111133311121 its reverse (121113331111221), we get a palindrome (243224464422342).

The spelling of 122111133311121 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty-one".