12334334144 has 56 divisors (see below), whose sum is σ = 26716213776. Its totient is φ = 5603328000.

The previous prime is 12334334141. The next prime is 12334334147. The reversal of 12334334144 is 44143343321.

It is an interprime number because it is at equal distance from previous prime (12334334141) and next prime (12334334147).

It is a super-3 number, since 3×12334334144³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12334334144.

It is not an unprimeable number, because it can be changed into a prime (12334334141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601984 + ... + 1609664.

It is an arithmetic number, because the mean of its divisors is an integer number (477075246).

Almost surely, 2^12334334144 is an apocalyptic number.

It is an amenable number.

12334334144 is an abundant number, since it is smaller than the sum of its proper divisors (14381879632).

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

12334334144 is a wasteful number, since it uses less digits than its factorization.

12334334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9975 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 12334334144 its reverse (44143343321), we get a palindrome (56477677465).

The spelling of 12334334144 in words is "twelve billion, three hundred thirty-four million, three hundred thirty-four thousand, one hundred forty-four".