212303313010000 has 400 divisors, whose sum is σ = 522422091417600. Its totient is φ = 83545620480000.

The previous prime is 212303313009989. The next prime is 212303313010021. The reversal of 212303313010000 is 10313303212.

212303313010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 212303313010000.

It is a congruent number.

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, 78659988651 + ... + 78659991349.

It is an arithmetic number, because the mean of its divisors is an integer number (1306055228544).

Almost surely, 2^{212303313010000} is an apocalyptic number.

212303313010000 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 212303313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261211045708800).

212303313010000 is an abundant number, since it is smaller than the sum of its proper divisors (310118778407600).

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

212303313010000 is a wasteful number, since it uses less digits than its factorization.

212303313010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 212303313010000 its reverse (10313303212), we get a palindrome (212313626313212).

The spelling of 212303313010000 in words is "two hundred twelve trillion, three hundred three billion, three hundred thirteen million, ten thousand".