112120211112000 has 2688 divisors, whose sum is σ = 497222143122432. Its totient is φ = 21658337280000.

The previous prime is 112120211111999. The next prime is 112120211112001. The reversal of 112120211112000 is 211112021211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112120211111999) and next prime (112120211112001).

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

It is not an unprimeable number, because it can be changed into a prime (112120211112001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23353509600 + ... + 23353514400.

It is an arithmetic number, because the mean of its divisors is an integer number (184978475864).

Almost surely, 2^{112120211112000} is an apocalyptic number.

112120211112000 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 112120211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248611071561216).

112120211112000 is an abundant number, since it is smaller than the sum of its proper divisors (385101932010432).

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

112120211112000 is a wasteful number, since it uses less digits than its factorization.

112120211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4885 counting only the distinct ones).

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

Adding to 112120211112000 its reverse (211112021211), we get a palindrome (112331323133211).

It can be divided in two parts, 112120211 and 112000, that added together give a palindrome (112232211).

The spelling of 112120211112000 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred eleven million, one hundred twelve thousand".