122111222122120 has 256 divisors, whose sum is σ = 364918775961600. Its totient is φ = 35623020533760.

The previous prime is 122111222122079. The next prime is 122111222122133. The reversal of 122111222122120 is 21221222111221.

It is a super-2 number, since 2×122111222122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122111222122091 and 122111222122100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7713069 + ... + 17427388.

It is an arithmetic number, because the mean of its divisors is an integer number (1425463968600).

Almost surely, 2^{122111222122120} is an apocalyptic number.

122111222122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111222122120 is an abundant number, since it is smaller than the sum of its proper divisors (242807553839480).

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

122111222122120 is a wasteful number, since it uses less digits than its factorization.

122111222122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140588 (or 25140584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122111222122120 its reverse (21221222111221), we get a palindrome (143332444233341).

The spelling of 122111222122120 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".