512921227226112 has 880 divisors, whose sum is σ = 1639032873274368. Its totient is φ = 159478897213440.

The previous prime is 512921227226099. The next prime is 512921227226123. The reversal of 512921227226112 is 211622722129215.

512921227226112 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 2 + 1 + 2 + 2 + 7 + 22 + 611 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10179608983 + ... + 10179659369.

Almost surely, 2^{512921227226112} 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 512921227226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819516436637184).

512921227226112 is an abundant number, since it is smaller than the sum of its proper divisors (1126111646048256).

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

512921227226112 is a wasteful number, since it uses less digits than its factorization.

512921227226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50594 (or 50567 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 512921227226112 in words is "five hundred twelve trillion, nine hundred twenty-one billion, two hundred twenty-seven million, two hundred twenty-six thousand, one hundred twelve".