10223201133200 has 240 divisors, whose sum is σ = 27503037853632. Its totient is φ = 3620371200000.

The previous prime is 10223201133121. The next prime is 10223201133259. The reversal of 10223201133200 is 233110232201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26919839 + ... + 27296961.

Almost surely, 2^{10223201133200} is an apocalyptic number.

10223201133200 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 10223201133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751518926816).

10223201133200 is an abundant number, since it is smaller than the sum of its proper divisors (17279836720432).

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

10223201133200 is a wasteful number, since it uses less digits than its factorization.

10223201133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377314 (or 377303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10223201133200 its reverse (233110232201), we get a palindrome (10456311365401).

Subtracting from 10223201133200 its reverse (233110232201), we obtain a palindrome (9990090900999).

The spelling of 10223201133200 in words is "ten trillion, two hundred twenty-three billion, two hundred one million, one hundred thirty-three thousand, two hundred".