133223222123200 has 336 divisors, whose sum is σ = 380162459831040. Its totient is φ = 45440663040000.

The previous prime is 133223222123191. The next prime is 133223222123209. The reversal of 133223222123200 is 2321222322331.

It is an interprime number because it is at equal distance from previous prime (133223222123191) and next prime (133223222123209).

It is not an unprimeable number, because it can be changed into a prime (133223222123209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31802149 + ... + 35746651.

Almost surely, 2^{133223222123200} is an apocalyptic number.

133223222123200 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 133223222123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190081229915520).

133223222123200 is an abundant number, since it is smaller than the sum of its proper divisors (246939237707840).

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

133223222123200 is a wasteful number, since it uses less digits than its factorization.

133223222123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944656 (or 3944641 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133223222123200 its reverse (2321222322331), we get a palindrome (135544444445531).

It can be divided in two parts, 1332232 and 22123200, that added together give a palindrome (23455432).

The spelling of 133223222123200 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred".