12132200000 has 84 divisors (see below), whose sum is σ = 30092113044. Its totient is φ = 4852800000.

The previous prime is 12132199973. The next prime is 12132200027. The reversal of 12132200000 is 223121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12132199973) and next prime (12132200027).

It can be written as a sum of positive squares in 6 ways, for example, as 11428465216 + 703734784 = 106904^2 + 26528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169670 + ... + 230330.

It is an arithmetic number, because the mean of its divisors is an integer number (358239441).

Almost surely, 2^12132200000 is an apocalyptic number.

12132200000 is a gapful number since it is divisible by the number (10) 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 12132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046056522).

12132200000 is an abundant number, since it is smaller than the sum of its proper divisors (17959913044).

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

12132200000 is an frugal number, since it uses more digits than its factorization.

12132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60698 (or 60668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12132200000 its reverse (223121), we get a palindrome (12132423121).

The spelling of 12132200000 in words is "twelve billion, one hundred thirty-two million, two hundred thousand".