12641178699072 has 1008 divisors, whose sum is σ = 48261884070400. Its totient is φ = 3087918028800.

The previous prime is 12641178699059. The next prime is 12641178699103. The reversal of 12641178699072 is 27099687114621.

12641178699072 is a `hidden beast` number, since 1 + 2 + 6 + 411 + 7 + 8 + 69 + 90 + 72 = 666.

12641178699072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×12641178699072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1288465047 + ... + 1288474857.

Almost surely, 2^{12641178699072} is an apocalyptic number.

12641178699072 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 12641178699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130942035200).

12641178699072 is an abundant number, since it is smaller than the sum of its proper divisors (35620705371328).

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

12641178699072 is a wasteful number, since it uses less digits than its factorization.

12641178699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 12641178699072 in words is "twelve trillion, six hundred forty-one billion, one hundred seventy-eight million, six hundred ninety-nine thousand, seventy-two".