12334340215512 has 288 divisors, whose sum is σ = 41538018019680. Its totient is φ = 3288658222080.

The previous prime is 12334340215499. The next prime is 12334340215541. The reversal of 12334340215512 is 21551204343321.

12334340215512 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 43 + 40 + 21 + 551 + 2 = 666.

It is a super-2 number, since 2×12334340215512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1473178 + ... + 5180630.

It is an arithmetic number, because the mean of its divisors is an integer number (144229229235).

Almost surely, 2^{12334340215512} is an apocalyptic number.

12334340215512 is a gapful number since it is divisible by the number (12) 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 12334340215512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769009009840).

12334340215512 is an abundant number, since it is smaller than the sum of its proper divisors (29203677804168).

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

12334340215512 is a wasteful number, since it uses less digits than its factorization.

12334340215512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707543 (or 3707529 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12334340215512 its reverse (21551204343321), we get a palindrome (33885544558833).

The spelling of 12334340215512 in words is "twelve trillion, three hundred thirty-four billion, three hundred forty million, two hundred fifteen thousand, five hundred twelve".