112012100112120 has 256 divisors, whose sum is σ = 362465143971840. Its totient is φ = 27528044341248.

The previous prime is 112012100112113. The next prime is 112012100112139. The reversal of 112012100112120 is 21211001210211.

It is a happy number.

It is a super-3 number, since 3×112012100112120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112012100112120.

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, 6858015474 + ... + 6858031806.

It is an arithmetic number, because the mean of its divisors is an integer number (1415879468640).

Almost surely, 2^{112012100112120} is an apocalyptic number.

112012100112120 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 112012100112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181232571985920).

112012100112120 is an abundant number, since it is smaller than the sum of its proper divisors (250453043859720).

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

112012100112120 is a wasteful number, since it uses less digits than its factorization.

112012100112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23134 (or 23130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112012100112120 its reverse (21211001210211), we get a palindrome (133223101322331).

The spelling of 112012100112120 in words is "one hundred twelve trillion, twelve billion, one hundred million, one hundred twelve thousand, one hundred twenty".