120111100112 has 80 divisors (see below), whose sum is σ = 255985104000. Its totient is φ = 54342047232.

The previous prime is 120111100091. The next prime is 120111100121. The reversal of 120111100112 is 211001111021.

It is a super-2 number, since 2×120111100112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120111100093 and 120111100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4945214 + ... + 4969442.

It is an arithmetic number, because the mean of its divisors is an integer number (3199813800).

Almost surely, 2^120111100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120111100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127992552000).

120111100112 is an abundant number, since it is smaller than the sum of its proper divisors (135874003888).

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

120111100112 is a wasteful number, since it uses less digits than its factorization.

120111100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24988 (or 24982 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120111100112 its reverse (211001111021), we get a palindrome (331112211133).

The spelling of 120111100112 in words is "one hundred twenty billion, one hundred eleven million, one hundred thousand, one hundred twelve".