12144314140 has 96 divisors (see below), whose sum is σ = 31321866240. Its totient is φ = 3860296704.

The previous prime is 12144314129. The next prime is 12144314177. The reversal of 12144314140 is 4141344121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121381 + ... + 197539.

It is an arithmetic number, because the mean of its divisors is an integer number (326269440).

Almost surely, 2^12144314140 is an apocalyptic number.

12144314140 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 12144314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660933120).

12144314140 is an abundant number, since it is smaller than the sum of its proper divisors (19177552100).

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

12144314140 is a wasteful number, since it uses less digits than its factorization.

12144314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76259 (or 76257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12144314140 its reverse (4141344121), we get a palindrome (16285658261).

The spelling of 12144314140 in words is "twelve billion, one hundred forty-four million, three hundred fourteen thousand, one hundred forty".