12722497823520 has 144 divisors (see below), whose sum is σ = 43452860173632. Its totient is φ = 3389748472320.

The previous prime is 12722497823473. The next prime is 12722497823599. The reversal of 12722497823520 is 2532879422721.

12722497823520 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 4 + 97 + 8 + 23 + 520 = 666.

12722497823520 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 (144).

It is a super-3 number, since 3×12722497823520³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2123676 + ... + 5473115.

It is an arithmetic number, because the mean of its divisors is an integer number (301755973428).

Almost surely, 2^{12722497823520} is an apocalyptic number.

12722497823520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12722497823520 is an abundant number, since it is smaller than the sum of its proper divisors (30730362350112).

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

12722497823520 is a wasteful number, since it uses less digits than its factorization.

12722497823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597975 (or 7597964 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 12722497823520 in words is "twelve trillion, seven hundred twenty-two billion, four hundred ninety-seven million, eight hundred twenty-three thousand, five hundred twenty".