2142120000 has 140 divisors (see below), whose sum is σ = 7082745296. Its totient is φ = 571200000.

The previous prime is 2142119999. The next prime is 2142120007. The reversal of 2142120000 is 212412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2142120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111075 + ... + 128925.

Almost surely, 2^2142120000 is an apocalyptic number.

2142120000 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 2142120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541372648).

2142120000 is an abundant number, since it is smaller than the sum of its proper divisors (4940625296).

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

2142120000 is an equidigital number, since it uses as much as digits as its factorization.

2142120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17886 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2142120000 is about 46283.0422509152. The cubic root of 2142120000 is about 1289.0841404999.

Adding to 2142120000 its reverse (212412), we get a palindrome (2142332412).

The spelling of 2142120000 in words is "two billion, one hundred forty-two million, one hundred twenty thousand".