12702613132000 has 192 divisors, whose sum is σ = 34062454782720. Its totient is φ = 4617119808000.

The previous prime is 12702613131977. The next prime is 12702613132051. The reversal of 12702613132000 is 23131620721.

It is a super-2 number, since 2×12702613132000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12702613132000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102854287 + ... + 102977713.

It is an arithmetic number, because the mean of its divisors is an integer number (177408618660).

Almost surely, 2^{12702613132000} is an apocalyptic number.

12702613132000 is a gapful number since it is divisible by the number (10) 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 12702613132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031227391360).

12702613132000 is an abundant number, since it is smaller than the sum of its proper divisors (21359841650720).

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

12702613132000 is a wasteful number, since it uses less digits than its factorization.

12702613132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125802 (or 125784 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 12702613132000 its reverse (23131620721), we get a palindrome (12725744752721).

The spelling of 12702613132000 in words is "twelve trillion, seven hundred two billion, six hundred thirteen million, one hundred thirty-two thousand".