512221045012000 has 96 divisors (see below), whose sum is σ = 1275767205686064. Its totient is φ = 202081727232000.

The previous prime is 512221045011983. The next prime is 512221045012009. The reversal of 512221045012000 is 210540122215.

It can be written as a sum of positive squares in 8 ways, for example, as 662863018896 + 511558181993104 = 814164^2 + 22617652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512221045012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876798831 + ... + 877382830.

Almost surely, 2^{512221045012000} is an apocalyptic number.

512221045012000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512221045012000 is an abundant number, since it is smaller than the sum of its proper divisors (763546160674064).

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

512221045012000 is a wasteful number, since it uses less digits than its factorization.

512221045012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754181759 (or 1754181741 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 512221045012000 its reverse (210540122215), we get a palindrome (512431585134215).

The spelling of 512221045012000 in words is "five hundred twelve trillion, two hundred twenty-one billion, forty-five million, twelve thousand".