112120010112000 has 1408 divisors, whose sum is σ = 415165362333696. Its totient is φ = 26630553600000.

The previous prime is 112120010111951. The next prime is 112120010112001. The reversal of 112120010112000 is 211010021211.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120010112001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51883390920 + ... + 51883393080.

Almost surely, 2^{112120010112000} is an apocalyptic number.

112120010112000 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 112120010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207582681166848).

112120010112000 is an abundant number, since it is smaller than the sum of its proper divisors (303045352221696).

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

112120010112000 is a wasteful number, since it uses less digits than its factorization.

112120010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2426 counting only the distinct ones).

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

Adding to 112120010112000 its reverse (211010021211), we get a palindrome (112331020133211).

The spelling of 112120010112000 in words is "one hundred twelve trillion, one hundred twenty billion, ten million, one hundred twelve thousand".