10311211200 has 168 divisors, whose sum is σ = 34165915920. Its totient is φ = 2722304000.

The previous prime is 10311211199. The next prime is 10311211243. The reversal of 10311211200 is 211211301.

It is a super-2 number, since 2×10311211200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 474166 + ... + 495434.

Almost surely, 2^10311211200 is an apocalyptic number.

10311211200 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 10311211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082957960).

10311211200 is an abundant number, since it is smaller than the sum of its proper divisors (23854704720).

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

10311211200 is a wasteful number, since it uses less digits than its factorization.

10311211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21380 counting only the distinct ones).

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

Adding to 10311211200 its reverse (211211301), we get a palindrome (10522422501).

The spelling of 10311211200 in words is "ten billion, three hundred eleven million, two hundred eleven thousand, two hundred".