112000000211000 has 128 divisors (see below), whose sum is σ = 286198118631360. Its totient is φ = 40685582848000.

The previous prime is 112000000210999. The next prime is 112000000211017. The reversal of 112000000211000 is 112000000211.

112000000211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5536244 + ... + 15957756.

Almost surely, 2^{112000000211000} is an apocalyptic number.

112000000211000 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 112000000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143099059315680).

112000000211000 is an abundant number, since it is smaller than the sum of its proper divisors (174198118420360).

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

112000000211000 is a wasteful number, since it uses less digits than its factorization.

112000000211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422522 (or 10422508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112000000211000 its reverse (112000000211), we get a palindrome (112112000211211).

112000000211000 divided by its reverse (112000000211) gives a cube (1000 = 10³).

The spelling of 112000000211000 in words is "one hundred twelve trillion, two hundred eleven thousand".