12334120401312 has 144 divisors (see below), whose sum is σ = 36924303780000. Its totient is φ = 3894659615232.

The previous prime is 12334120401311. The next prime is 12334120401359. The reversal of 12334120401312 is 21310402143321.

12334120401312 is a `hidden beast` number, since 1 + 2 + 3 + 341 + 2 + 0 + 4 + 0 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12334120401311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70112439 + ... + 70288137.

It is an arithmetic number, because the mean of its divisors is an integer number (256418776250).

Almost surely, 2^{12334120401312} is an apocalyptic number.

12334120401312 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 12334120401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18462151890000).

12334120401312 is an abundant number, since it is smaller than the sum of its proper divisors (24590183378688).

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

12334120401312 is a wasteful number, since it uses less digits than its factorization.

12334120401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188563 (or 188552 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12334120401312 its reverse (21310402143321), we get a palindrome (33644522544633).

The spelling of 12334120401312 in words is "twelve trillion, three hundred thirty-four billion, one hundred twenty million, four hundred one thousand, three hundred twelve".