2012132200000 has 168 divisors, whose sum is σ = 5374619455464. Its totient is φ = 742940160000.

The previous prime is 2012132199991. The next prime is 2012132200037. The reversal of 2012132200000 is 22312102.

It can be written as a sum of positive squares in 12 ways, for example, as 1977240948736 + 34891251264 = 1406144^2 + 186792^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213052 + ... + 2986948.

It is an arithmetic number, because the mean of its divisors is an integer number (31991782473).

Almost surely, 2^{2012132200000} is an apocalyptic number.

2012132200000 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 2012132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687309727732).

2012132200000 is an abundant number, since it is smaller than the sum of its proper divisors (3362487255464).

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

2012132200000 is an frugal number, since it uses more digits than its factorization.

2012132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773947 (or 773917 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2012132200000 its reverse (22312102), we get a palindrome (2012154512102).

The spelling of 2012132200000 in words is "two trillion, twelve billion, one hundred thirty-two million, two hundred thousand".