111002120112 has 320 divisors, whose sum is σ = 339889356800. Its totient is φ = 30908666880.

The previous prime is 111002120083. The next prime is 111002120129. The reversal of 111002120112 is 211021200111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 29033433 + ... + 29037255.

It is an arithmetic number, because the mean of its divisors is an integer number (1062154240).

Almost surely, 2^111002120112 is an apocalyptic number.

111002120112 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 111002120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169944678400).

111002120112 is an abundant number, since it is smaller than the sum of its proper divisors (228887236688).

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

111002120112 is a wasteful number, since it uses less digits than its factorization.

111002120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111002120112 its reverse (211021200111), we get a palindrome (322023320223).

The spelling of 111002120112 in words is "one hundred eleven billion, two million, one hundred twenty thousand, one hundred twelve".