10230312321200 has 240 divisors, whose sum is σ = 25924017185280. Its totient is φ = 3874996546560.

The previous prime is 10230312321197. The next prime is 10230312321269. The reversal of 10230312321200 is 212321303201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124471319 + ... + 124553481.

It is an arithmetic number, because the mean of its divisors is an integer number (108016738272).

Almost surely, 2^{10230312321200} is an apocalyptic number.

10230312321200 is a gapful number since it is divisible by the number (10) 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 10230312321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962008592640).

10230312321200 is an abundant number, since it is smaller than the sum of its proper divisors (15693704864080).

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

10230312321200 is a wasteful number, since it uses less digits than its factorization.

10230312321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82444 (or 82433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10230312321200 its reverse (212321303201), we get a palindrome (10442633624401).

The spelling of 10230312321200 in words is "ten trillion, two hundred thirty billion, three hundred twelve million, three hundred twenty-one thousand, two hundred".