12724215119040 has 448 divisors, whose sum is σ = 41804873358336. Its totient is φ = 3276562710528.

The previous prime is 12724215119009. The next prime is 12724215119047. The reversal of 12724215119040 is 4091151242721.

It is a happy number.

It is a super-2 number, since 2×12724215119040² (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 12724215119040.

It is not an unprimeable number, because it can be changed into a prime (12724215119047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2643715674 + ... + 2643720486.

Almost surely, 2^{12724215119040} is an apocalyptic number.

12724215119040 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 12724215119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902436679168).

12724215119040 is an abundant number, since it is smaller than the sum of its proper divisors (29080658239296).

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

12724215119040 is a wasteful number, since it uses less digits than its factorization.

12724215119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 12724215119040 in words is "twelve trillion, seven hundred twenty-four billion, two hundred fifteen million, one hundred nineteen thousand, forty".