512412214210000 has 200 divisors, whose sum is σ = 1337391545212800. Its totient is φ = 189005838528000.

The previous prime is 512412214209983. The next prime is 512412214210019. The reversal of 512412214210000 is 12412214215.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125785101 + ... + 129794899.

It is an arithmetic number, because the mean of its divisors is an integer number (6686957726064).

Almost surely, 2^{512412214210000} is an apocalyptic number.

512412214210000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512412214210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668695772606400).

512412214210000 is an abundant number, since it is smaller than the sum of its proper divisors (824979331002800).

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

512412214210000 is a wasteful number, since it uses less digits than its factorization.

512412214210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010823 (or 4010802 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 512412214210000 its reverse (12412214215), we get a palindrome (512424626424215).

The spelling of 512412214210000 in words is "five hundred twelve trillion, four hundred twelve billion, two hundred fourteen million, two hundred ten thousand".