12540405334212 has 144 divisors (see below), whose sum is σ = 36710192064000. Its totient is φ = 3535326362880.

The previous prime is 12540405334181. The next prime is 12540405334283. The reversal of 12540405334212 is 21243350404521.

It is a happy number.

12540405334212 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 405 + 3 + 34 + 212 = 666.

12540405334212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30634162 + ... + 31040822.

Almost surely, 2^{12540405334212} is an apocalyptic number.

12540405334212 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 12540405334212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355096032000).

12540405334212 is an abundant number, since it is smaller than the sum of its proper divisors (24169786729788).

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

12540405334212 is a wasteful number, since it uses less digits than its factorization.

12540405334212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408306 (or 408301 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12540405334212 its reverse (21243350404521), we get a palindrome (33783755738733).

The spelling of 12540405334212 in words is "twelve trillion, five hundred forty billion, four hundred five million, three hundred thirty-four thousand, two hundred twelve".