10312123200 has 336 divisors, whose sum is σ = 35266701120. Its totient is φ = 2635776000.

The previous prime is 10312123193. The next prime is 10312123321. The reversal of 10312123200 is 232121301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10312123200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12004371 + ... + 12005229.

It is an arithmetic number, because the mean of its divisors is an integer number (104960420).

Almost surely, 2^10312123200 is an apocalyptic number.

10312123200 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 10312123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633350560).

10312123200 is an abundant number, since it is smaller than the sum of its proper divisors (24954577920).

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

10312123200 is a wasteful number, since it uses less digits than its factorization.

10312123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10312123200 its reverse (232121301), we get a palindrome (10544244501).

The spelling of 10312123200 in words is "ten billion, three hundred twelve million, one hundred twenty-three thousand, two hundred".