112012011120 has 320 divisors, whose sum is σ = 367464480768. Its totient is φ = 28169856000.

The previous prime is 112012011109. The next prime is 112012011131. The reversal of 112012011120 is 21110210211.

It is an interprime number because it is at equal distance from previous prime (112012011109) and next prime (112012011131).

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

It is a junction number, because it is equal to n+sod(n) for n = 112012011096 and 112012011105.

It is a congruent number.

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, 138115515 + ... + 138116325.

Almost surely, 2^112012011120 is an apocalyptic number.

112012011120 is a gapful number since it is divisible by the number (10) 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 112012011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183732240384).

112012011120 is an abundant number, since it is smaller than the sum of its proper divisors (255452469648).

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

112012011120 is a wasteful number, since it uses less digits than its factorization.

112012011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

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

Adding to 112012011120 its reverse (21110210211), we get a palindrome (133122221331).

The spelling of 112012011120 in words is "one hundred twelve billion, twelve million, eleven thousand, one hundred twenty".