12132142240 has 96 divisors (see below), whose sum is σ = 28890899856. Its totient is φ = 4814315520.

The previous prime is 12132142171. The next prime is 12132142241. The reversal of 12132142240 is 4224123121.

It can be written as a sum of positive squares in 8 ways, for example, as 55890576 + 12076251664 = 7476^2 + 109892^2 .

It is not an unprimeable number, because it can be changed into a prime (12132142241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15694494 + ... + 15695266.

Almost surely, 2^12132142240 is an apocalyptic number.

12132142240 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 12132142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445449928).

12132142240 is an abundant number, since it is smaller than the sum of its proper divisors (16758757616).

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

12132142240 is a wasteful number, since it uses less digits than its factorization.

12132142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12132142240 its reverse (4224123121), we get a palindrome (16356265361).

The spelling of 12132142240 in words is "twelve billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred forty".