10312460223200 has 288 divisors, whose sum is σ = 26377313743872. Its totient is φ = 3932167680000.

The previous prime is 10312460223083. The next prime is 10312460223203. The reversal of 10312460223200 is 232206421301.

It is a self number, because there is not a number n which added to its sum of digits gives 10312460223200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312460223203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1598579975 + ... + 1598586425.

It is an arithmetic number, because the mean of its divisors is an integer number (91587894944).

Almost surely, 2^{10312460223200} is an apocalyptic number.

10312460223200 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 10312460223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188656871936).

10312460223200 is an abundant number, since it is smaller than the sum of its proper divisors (16064853520672).

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

10312460223200 is a wasteful number, since it uses less digits than its factorization.

10312460223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10312460223200 its reverse (232206421301), we get a palindrome (10544666644501).

The spelling of 10312460223200 in words is "ten trillion, three hundred twelve billion, four hundred sixty million, two hundred twenty-three thousand, two hundred".