12822150507264 has 288 divisors, whose sum is σ = 43528479805440. Its totient is φ = 3647040380928.

The previous prime is 12822150507239. The next prime is 12822150507301. The reversal of 12822150507264 is 46270505122821.

12822150507264 is a `hidden beast` number, since 1 + 2 + 82 + 2 + 1 + 5 + 0 + 507 + 2 + 64 = 666.

12822150507264 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 (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10195444 + ... + 11383820.

It is an arithmetic number, because the mean of its divisors is an integer number (151140554880).

Almost surely, 2^{12822150507264} is an apocalyptic number.

12822150507264 is a gapful number since it is divisible by the number (14) 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 12822150507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764239902720).

12822150507264 is an abundant number, since it is smaller than the sum of its proper divisors (30706329298176).

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

12822150507264 is a wasteful number, since it uses less digits than its factorization.

12822150507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188632 (or 1188612 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12822150507264 in words is "twelve trillion, eight hundred twenty-two billion, one hundred fifty million, five hundred seven thousand, two hundred sixty-four".