2142012200 has 96 divisors (see below), whose sum is σ = 5156154360. Its totient is φ = 826982400.

The previous prime is 2142012199. The next prime is 2142012203. The reversal of 2142012200 is 22102412.

It can be written as a sum of positive squares in 12 ways, for example, as 22146436 + 2119865764 = 4706^2 + 46042^2 .

It is not an unprimeable number, because it can be changed into a prime (2142012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794054 + ... + 796746.

Almost surely, 2^2142012200 is an apocalyptic number.

2142012200 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 2142012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578077180).

2142012200 is an abundant number, since it is smaller than the sum of its proper divisors (3014142160).

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

2142012200 is a wasteful number, since it uses less digits than its factorization.

2142012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142012200 is about 46281.8776628607. The cubic root of 2142012200 is about 1289.0625161898.

Adding to 2142012200 its reverse (22102412), we get a palindrome (2164114612).

The spelling of 2142012200 in words is "two billion, one hundred forty-two million, twelve thousand, two hundred".