80201122797312 has 864 divisors, whose sum is σ = 271183787784000. Its totient is φ = 23334403276800.

The previous prime is 80201122797311. The next prime is 80201122797319. The reversal of 80201122797312 is 21379722110208.

80201122797312 is a `hidden beast` number, since 8 + 0 + 20 + 1 + 1 + 227 + 97 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80201122797311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4390002514 + ... + 4390020782.

It is an arithmetic number, because the mean of its divisors is an integer number (313870124750).

Almost surely, 2^{80201122797312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80201122797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135591893892000).

80201122797312 is an abundant number, since it is smaller than the sum of its proper divisors (190982664986688).

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

80201122797312 is a wasteful number, since it uses less digits than its factorization.

80201122797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18526 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 80201122797312 in words is "eighty trillion, two hundred one billion, one hundred twenty-two million, seven hundred ninety-seven thousand, three hundred twelve".