10312225200 has 180 divisors, whose sum is σ = 36156441048. Its totient is φ = 2721484800.

The previous prime is 10312225163. The next prime is 10312225219. The reversal of 10312225200 is 252221301.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 334435 + ... + 363965.

Almost surely, 2^10312225200 is an apocalyptic number.

10312225200 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 10312225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078220524).

10312225200 is an abundant number, since it is smaller than the sum of its proper divisors (25844215848).

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

10312225200 is a wasteful number, since it uses less digits than its factorization.

10312225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29652 (or 29638 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10312225200 its reverse (252221301), we get a palindrome (10564446501).

The spelling of 10312225200 in words is "ten billion, three hundred twelve million, two hundred twenty-five thousand, two hundred".