10312200000 has 504 divisors, whose sum is σ = 39234535704. Its totient is φ = 2580480000.

The previous prime is 10312199981. The next prime is 10312200013. The reversal of 10312200000 is 221301.

It is a happy number.

10312200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10267363584 + 44836416 = 101328^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 30599832 + ... + 30600168.

It is an arithmetic number, because the mean of its divisors is an integer number (77846301).

Almost surely, 2^10312200000 is an apocalyptic number.

10312200000 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 10312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617267852).

10312200000 is an abundant number, since it is smaller than the sum of its proper divisors (28922335704).

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

10312200000 is an equidigital number, since it uses as much as digits as its factorization.

10312200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10312200000 its reverse (221301), we get a palindrome (10312421301).

The spelling of 10312200000 in words is "ten billion, three hundred twelve million, two hundred thousand".