20212313323200 has 336 divisors, whose sum is σ = 68464281338880. Its totient is φ = 5215173120000.

The previous prime is 20212313323187. The next prime is 20212313323243. The reversal of 20212313323200 is 232331321202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465821906 + ... + 1465835694.

It is an arithmetic number, because the mean of its divisors is an integer number (203762742080).

Almost surely, 2^{20212313323200} is an apocalyptic number.

20212313323200 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 20212313323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34232140669440).

20212313323200 is an abundant number, since it is smaller than the sum of its proper divisors (48251968015680).

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

20212313323200 is a wasteful number, since it uses less digits than its factorization.

20212313323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20212313323200 its reverse (232331321202), we get a palindrome (20444644644402).

The spelling of 20212313323200 in words is "twenty trillion, two hundred twelve billion, three hundred thirteen million, three hundred twenty-three thousand, two hundred".