12131402240 has 80 divisors (see below), whose sum is σ = 29123950680. Its totient is φ = 4846387200.

The previous prime is 12131402189. The next prime is 12131402273. The reversal of 12131402240 is 4220413121.

It can be written as a sum of positive squares in 4 ways, for example, as 1851064576 + 10280337664 = 43024^2 + 101392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375690 + ... + 2380790.

Almost surely, 2^12131402240 is an apocalyptic number.

12131402240 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 12131402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561975340).

12131402240 is an abundant number, since it is smaller than the sum of its proper divisors (16992548440).

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

12131402240 is an frugal number, since it uses more digits than its factorization.

12131402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12131402240 its reverse (4220413121), we get a palindrome (16351815361).

The spelling of 12131402240 in words is "twelve billion, one hundred thirty-one million, four hundred two thousand, two hundred forty".