12321115040 has 96 divisors (see below), whose sum is σ = 31433781456. Its totient is φ = 4536852480.

The previous prime is 12321115031. The next prime is 12321115043. The reversal of 12321115040 is 4051112321.

12321115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6418573456 + 5902541584 = 80116^2 + 76828^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12321115043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767900 + ... + 783780.

Almost surely, 2^12321115040 is an apocalyptic number.

12321115040 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 12321115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716890728).

12321115040 is an abundant number, since it is smaller than the sum of its proper divisors (19112666416).

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

12321115040 is a wasteful number, since it uses less digits than its factorization.

12321115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16274 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 12321115040 its reverse (4051112321), we get a palindrome (16372227361).

The spelling of 12321115040 in words is "twelve billion, three hundred twenty-one million, one hundred fifteen thousand, forty".