133023203221200 has 480 divisors, whose sum is σ = 443442117888000. Its totient is φ = 34063434240000.

The previous prime is 133023203221003. The next prime is 133023203221213. The reversal of 133023203221200 is 2122302320331.

It is a super-2 number, since 2×133023203221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948408676 + ... + 948548924.

It is an arithmetic number, because the mean of its divisors is an integer number (923837745600).

Almost surely, 2^{133023203221200} is an apocalyptic number.

133023203221200 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 133023203221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221721058944000).

133023203221200 is an abundant number, since it is smaller than the sum of its proper divisors (310418914666800).

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

133023203221200 is a wasteful number, since it uses less digits than its factorization.

133023203221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140635 (or 140624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133023203221200 its reverse (2122302320331), we get a palindrome (135145505541531).

The spelling of 133023203221200 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred three million, two hundred twenty-one thousand, two hundred".