2142112000 has 288 divisors, whose sum is σ = 6229327104. Its totient is φ = 718848000.

The previous prime is 2142111989. The next prime is 2142112009. The reversal of 2142112000 is 2112412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16351935 + ... + 16352065.

It is an arithmetic number, because the mean of its divisors is an integer number (21629608).

Almost surely, 2^2142112000 is an apocalyptic number.

2142112000 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 2142112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114663552).

2142112000 is an abundant number, since it is smaller than the sum of its proper divisors (4087215104).

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

2142112000 is an equidigital number, since it uses as much as digits as its factorization.

2142112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2142112000 is about 46282.9558260922. The cubic root of 2142112000 is about 1289.0825357523.

Adding to 2142112000 its reverse (2112412), we get a palindrome (2144224412).

The spelling of 2142112000 in words is "two billion, one hundred forty-two million, one hundred twelve thousand".