20312312323200 has 192 divisors, whose sum is σ = 67566094600320. Its totient is φ = 5362986496000.

The previous prime is 20312312323187. The next prime is 20312312323213. The reversal of 20312312323200 is 232321321302.

It is an interprime number because it is at equal distance from previous prime (20312312323187) and next prime (20312312323213).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9504984 + ... + 11444183.

It is an arithmetic number, because the mean of its divisors is an integer number (351906742710).

Almost surely, 2^{20312312323200} is an apocalyptic number.

20312312323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312312323200 is an abundant number, since it is smaller than the sum of its proper divisors (47253782277120).

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

20312312323200 is a wasteful number, since it uses less digits than its factorization.

20312312323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949295 (or 20949278 counting only the distinct ones).

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

Adding to 20312312323200 its reverse (232321321302), we get a palindrome (20544633644502).

The spelling of 20312312323200 in words is "twenty trillion, three hundred twelve billion, three hundred twelve million, three hundred twenty-three thousand, two hundred".