133132222021200 has 120 divisors (see below), whose sum is σ = 427060026230400. Its totient is φ = 35452548833280.

The previous prime is 133132222021171. The next prime is 133132222021207. The reversal of 133132222021200 is 2120222231331.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132222021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76288465 + ... + 78014064.

It is an arithmetic number, because the mean of its divisors is an integer number (3558833551920).

Almost surely, 2^{133132222021200} is an apocalyptic number.

133132222021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133132222021200 is an abundant number, since it is smaller than the sum of its proper divisors (293927804209200).

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

133132222021200 is a wasteful number, since it uses less digits than its factorization.

133132222021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154303269 (or 154303258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133132222021200 its reverse (2120222231331), we get a palindrome (135252444252531).

The spelling of 133132222021200 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, two hundred twenty-two million, twenty-one thousand, two hundred".