212313011130000 has 1200 divisors, whose sum is σ = 842421473836800. Its totient is φ = 49444162560000.

The previous prime is 212313011129969. The next prime is 212313011130013. The reversal of 212313011130000 is 31110313212.

212313011130000 is a `hidden beast` number, since 2 + 1 + 231 + 301 + 1 + 130 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2893733316 + ... + 2893806684.

It is an arithmetic number, because the mean of its divisors is an integer number (702017894864).

Almost surely, 2^{212313011130000} is an apocalyptic number.

212313011130000 is a gapful number since it is divisible by the number (20) 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 212313011130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421210736918400).

212313011130000 is an abundant number, since it is smaller than the sum of its proper divisors (630108462706800).

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

212313011130000 is a wasteful number, since it uses less digits than its factorization.

212313011130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73530 (or 73506 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212313011130000 its reverse (31110313212), we get a palindrome (212344121443212).

The spelling of 212313011130000 in words is "two hundred twelve trillion, three hundred thirteen billion, eleven million, one hundred thirty thousand".