2131200000 has 432 divisors, whose sum is σ = 7901564580. Its totient is φ = 552960000.

The previous prime is 2131199989. The next prime is 2131200011. The reversal of 2131200000 is 21312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2131199989) and next prime (2131200011).

It can be written as a sum of positive squares in 6 ways, for example, as 34292736 + 2096907264 = 5856^2 + 45792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57599982 + ... + 57600018.

Almost surely, 2^2131200000 is an apocalyptic number.

2131200000 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 2131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950782290).

2131200000 is an abundant number, since it is smaller than the sum of its proper divisors (5770364580).

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

2131200000 is an frugal number, since it uses more digits than its factorization.

2131200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2131200000 is about 46164.9217480112. The cubic root of 2131200000 is about 1286.8899299660.

Adding to 2131200000 its reverse (21312), we get a palindrome (2131221312).

2131200000 divided by its reverse (21312) gives a 5-th power (100000 = 10⁵).

The spelling of 2131200000 in words is "two billion, one hundred thirty-one million, two hundred thousand".