133221221133200 has 60 divisors (see below), whose sum is σ = 338891276952900. Its totient is φ = 50153871482880.

The previous prime is 133221221133157. The next prime is 133221221133269. The reversal of 133221221133200 is 2331122122331.

It can be written as a sum of positive squares in 6 ways, for example, as 391815906304 + 132829405226896 = 625952^2 + 11525164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133221221133200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9795671225 + ... + 9795684824.

It is an arithmetic number, because the mean of its divisors is an integer number (5648187949215).

Almost surely, 2^{133221221133200} is an apocalyptic number.

133221221133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221221133200 is an abundant number, since it is smaller than the sum of its proper divisors (205670055819700).

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

133221221133200 is a wasteful number, since it uses less digits than its factorization.

133221221133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19591356084 (or 19591356073 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 133221221133200 its reverse (2331122122331), we get a palindrome (135552343255531).

The spelling of 133221221133200 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred".