12996638550000 has 1440 divisors, whose sum is σ = 56917588291200. Its totient is φ = 2699182080000.

The previous prime is 12996638549989. The next prime is 12996638550031. The reversal of 12996638550000 is 5583669921.

It is a happy number.

12996638550000 is a `hidden beast` number, since 1 + 29 + 9 + 6 + 63 + 8 + 550 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12996638550000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1552945816 + ... + 1552954184.

It is an arithmetic number, because the mean of its divisors is an integer number (39526102980).

Almost surely, 2^{12996638550000} is an apocalyptic number.

12996638550000 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 12996638550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458794145600).

12996638550000 is an abundant number, since it is smaller than the sum of its proper divisors (43920949741200).

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

12996638550000 is a wasteful number, since it uses less digits than its factorization.

12996638550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 12996638550000 in words is "twelve trillion, nine hundred ninety-six billion, six hundred thirty-eight million, five hundred fifty thousand".