2111112000 has 336 divisors, whose sum is σ = 7649413200. Its totient is φ = 555724800.

The previous prime is 2111111993. The next prime is 2111112001. The reversal of 2111112000 is 2111112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1017354816 + 1093757184 = 31896^2 + 33072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111112001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7847866 + ... + 7848134.

Almost surely, 2^2111112000 is an apocalyptic number.

2111112000 is a gapful number since it is divisible by the number (20) 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 2111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824706600).

2111112000 is an abundant number, since it is smaller than the sum of its proper divisors (5538301200).

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

2111112000 is a wasteful number, since it uses less digits than its factorization.

2111112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2111112000 is about 45946.8388466497. The cubic root of 2111112000 is about 1282.8338904724.

Adding to 2111112000 its reverse (2111112), we get a palindrome (2113223112).

2111112000 divided by its reverse (2111112) gives a cube (1000 = 10³).

The spelling of 2111112000 in words is "two billion, one hundred eleven million, one hundred twelve thousand".