122111133311120 has 20 divisors (see below), whose sum is σ = 283908384948540. Its totient is φ = 48844453324416.

The previous prime is 122111133311107. The next prime is 122111133311171. The reversal of 122111133311120 is 21113331111221.

It can be written as a sum of positive squares in 2 ways, for example, as 41875186978816 + 80235946332304 = 6471104^2 + 8957452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×122111133311120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763194583115 + ... + 763194583274.

It is an arithmetic number, because the mean of its divisors is an integer number (14195419247427).

Almost surely, 2^{122111133311120} is an apocalyptic number.

122111133311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111133311120 is an abundant number, since it is smaller than the sum of its proper divisors (161797251637420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111133311120 is a wasteful number, since it uses less digits than its factorization.

122111133311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526389166402 (or 1526389166396 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 122111133311120 its reverse (21113331111221), we get a palindrome (143224464422341).

The spelling of 122111133311120 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty".