12244400144240 has 160 divisors (see below), whose sum is σ = 31136653912320. Its totient is φ = 4440996761600.

The previous prime is 12244400144213. The next prime is 12244400144257. The reversal of 12244400144240 is 4244100444221.

It is a junction number, because it is equal to n+sod(n) for n = 12244400144197 and 12244400144206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566571035 + ... + 566592645.

It is an arithmetic number, because the mean of its divisors is an integer number (194604086952).

Almost surely, 2^{12244400144240} is an apocalyptic number.

12244400144240 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 12244400144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568326956160).

12244400144240 is an abundant number, since it is smaller than the sum of its proper divisors (18892253768080).

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

12244400144240 is a wasteful number, since it uses less digits than its factorization.

12244400144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23271 (or 23265 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 12244400144240 its reverse (4244100444221), we get a palindrome (16488500588461).

The spelling of 12244400144240 in words is "twelve trillion, two hundred forty-four billion, four hundred million, one hundred forty-four thousand, two hundred forty".