2012112000 has 384 divisors, whose sum is σ = 7353730800. Its totient is φ = 527155200.

The previous prime is 2012111999. The next prime is 2012112007. The reversal of 2012112000 is 2112102.

2012112000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17239104 + 1994872896 = 4152^2 + 44664^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (2012112007) 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, 12815922 + ... + 12816078.

Almost surely, 2^2012112000 is an apocalyptic number.

2012112000 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 2012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676865400).

2012112000 is an abundant number, since it is smaller than the sum of its proper divisors (5341618800).

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

2012112000 is a wasteful number, since it uses less digits than its factorization.

2012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2012112000 is about 44856.5714249317. The cubic root of 2012112000 is about 1262.4592935279.

Adding to 2012112000 its reverse (2112102), we get a palindrome (2014224102).

The spelling of 2012112000 in words is "two billion, twelve million, one hundred twelve thousand".