12742811140032 has 336 divisors, whose sum is σ = 39973240652800. Its totient is φ = 3866207293440.

The previous prime is 12742811140027. The next prime is 12742811140093. The reversal of 12742811140032 is 23004111824721.

12742811140032 is a `hidden beast` number, since 127 + 42 + 81 + 11 + 400 + 3 + 2 = 666.

It is a super-2 number, since 2×12742811140032² (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 47 ways as a sum of consecutive naturals, for example, 47022588 + ... + 47292804.

Almost surely, 2^{12742811140032} is an apocalyptic number.

12742811140032 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 12742811140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986620326400).

12742811140032 is an abundant number, since it is smaller than the sum of its proper divisors (27230429512768).

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

12742811140032 is a wasteful number, since it uses less digits than its factorization.

12742811140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270424 (or 270411 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 12742811140032 its reverse (23004111824721), we get a palindrome (35746922964753).

The spelling of 12742811140032 in words is "twelve trillion, seven hundred forty-two billion, eight hundred eleven million, one hundred forty thousand, thirty-two".