12822005321760 has 48 divisors (see below), whose sum is σ = 40389316765056. Its totient is φ = 3419201419008.

The previous prime is 12822005321753. The next prime is 12822005321761. The reversal of 12822005321760 is 6712350022821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12822005321760² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12822005321761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13356255064 + ... + 13356256023.

It is an arithmetic number, because the mean of its divisors is an integer number (841444099272).

Almost surely, 2^{12822005321760} is an apocalyptic number.

12822005321760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12822005321760 is an abundant number, since it is smaller than the sum of its proper divisors (27567311443296).

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

12822005321760 is a wasteful number, since it uses less digits than its factorization.

12822005321760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712511105 (or 26712511097 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12822005321760 in words is "twelve trillion, eight hundred twenty-two billion, five million, three hundred twenty-one thousand, seven hundred sixty".