10222231003200 has 1512 divisors, whose sum is σ = 39543046583040. Its totient is φ = 2500562534400.

The previous prime is 10222231003199. The next prime is 10222231003261. The reversal of 10222231003200 is 230013222201.

10222231003200 is a `hidden beast` number, since 1 + 0 + 22 + 223 + 100 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26278228606 + ... + 26278228994.

Almost surely, 2^{10222231003200} is an apocalyptic number.

10222231003200 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 10222231003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771523291520).

10222231003200 is an abundant number, since it is smaller than the sum of its proper divisors (29320815579840).

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

10222231003200 is a wasteful number, since it uses less digits than its factorization.

10222231003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222231003200 its reverse (230013222201), we get a palindrome (10452244225401).

The spelling of 10222231003200 in words is "ten trillion, two hundred twenty-two billion, two hundred thirty-one million, three thousand, two hundred".