133323121222200 has 768 divisors, whose sum is σ = 580474597248000. Its totient is φ = 27369447229440.

The previous prime is 133323121222199. The next prime is 133323121222231. The reversal of 133323121222200 is 2222121323331.

133323121222200 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 312 + 122 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14515411 + ... + 21848189.

It is an arithmetic number, because the mean of its divisors is an integer number (755826298500).

Almost surely, 2^{133323121222200} is an apocalyptic number.

133323121222200 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 133323121222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290237298624000).

133323121222200 is an abundant number, since it is smaller than the sum of its proper divisors (447151476025800).

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

133323121222200 is a wasteful number, since it uses less digits than its factorization.

133323121222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332861 (or 7332846 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133323121222200 its reverse (2222121323331), we get a palindrome (135545242545531).

The spelling of 133323121222200 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".