12010113441440 has 384 divisors, whose sum is σ = 32206883143680. Its totient is φ = 4208219136000.

The previous prime is 12010113441413. The next prime is 12010113441449. The reversal of 12010113441440 is 4414431101021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12010113441449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2377766915 + ... + 2377771965.

It is an arithmetic number, because the mean of its divisors is an integer number (83872091520).

Almost surely, 2^{12010113441440} is an apocalyptic number.

12010113441440 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 12010113441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103441571840).

12010113441440 is an abundant number, since it is smaller than the sum of its proper divisors (20196769702240).

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

12010113441440 is a wasteful number, since it uses less digits than its factorization.

12010113441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12010113441440 its reverse (4414431101021), we get a palindrome (16424544542461).

The spelling of 12010113441440 in words is "twelve trillion, ten billion, one hundred thirteen million, four hundred forty-one thousand, four hundred forty".