8001201012 has 192 divisors, whose sum is σ = 22504366080. Its totient is φ = 2165184000.

The previous prime is 8001200981. The next prime is 8001201023. The reversal of 8001201012 is 2101021008.

It is a junction number, because it is equal to n+sod(n) for n = 8001200982 and 8001201000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22287289 + ... + 22287647.

It is an arithmetic number, because the mean of its divisors is an integer number (117210240).

Almost surely, 2^8001201012 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 8001201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252183040).

8001201012 is an abundant number, since it is smaller than the sum of its proper divisors (14503165068).

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

8001201012 is a wasteful number, since it uses less digits than its factorization.

8001201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 8001201012 is about 89449.4327092129. The cubic root of 8001201012 is about 2000.1000793253.

The spelling of 8001201012 in words is "eight billion, one million, two hundred one thousand, twelve".