8001228367125 has 320 divisors, whose sum is σ = 17643784384512. Its totient is φ = 3530412864000.

The previous prime is 8001228367123. The next prime is 8001228367147. The reversal of 8001228367125 is 5217638221008.

It is not a de Polignac number, because 8001228367125 - 2¹ = 8001228367123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001228367123) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 872254039 + ... + 872263211.

Almost surely, 2^{8001228367125} is an apocalyptic number.

It is an amenable number.

8001228367125 is an abundant number, since it is smaller than the sum of its proper divisors (9642556017387).

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

8001228367125 is a wasteful number, since it uses less digits than its factorization.

8001228367125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9635 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 8001228367125 in words is "eight trillion, one billion, two hundred twenty-eight million, three hundred sixty-seven thousand, one hundred twenty-five".