512252020042200 has 384 divisors, whose sum is σ = 1900480787040000. Its totient is φ = 126401476561920.

The previous prime is 512252020042193. The next prime is 512252020042207. The reversal of 512252020042200 is 2240020252215.

It is a happy number.

512252020042200 is a `hidden beast` number, since 5 + 1 + 2 + 252 + 0 + 200 + 4 + 2 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (512252020042193) and next prime (512252020042207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512252020042207) 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, 53642965 + ... + 62466564.

It is an arithmetic number, because the mean of its divisors is an integer number (4949168716250).

Almost surely, 2^{512252020042200} is an apocalyptic number.

512252020042200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512252020042200 is an abundant number, since it is smaller than the sum of its proper divisors (1388228766997800).

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

512252020042200 is a wasteful number, since it uses less digits than its factorization.

512252020042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116109616 (or 116109601 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 512252020042200 its reverse (2240020252215), we get a palindrome (514492040294415).

The spelling of 512252020042200 in words is "five hundred twelve trillion, two hundred fifty-two billion, twenty million, forty-two thousand, two hundred".