122111011010112 has 448 divisors, whose sum is σ = 347801593651200. Its totient is φ = 37724649431040.

The previous prime is 122111011010077. The next prime is 122111011010123. The reversal of 122111011010112 is 211010110111221.

It is a super-2 number, since 2×122111011010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111011010091 and 122111011010100.

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, 6287566162 + ... + 6287585582.

Almost surely, 2^{122111011010112} is an apocalyptic number.

122111011010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173900796825600).

122111011010112 is an abundant number, since it is smaller than the sum of its proper divisors (225690582641088).

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

122111011010112 is a wasteful number, since it uses less digits than its factorization.

122111011010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19874 (or 19864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122111011010112 its reverse (211010110111221), we get a palindrome (333121121121333).

The spelling of 122111011010112 in words is "one hundred twenty-two trillion, one hundred eleven billion, eleven million, ten thousand, one hundred twelve".