22133132101200 has 240 divisors, whose sum is σ = 71706722351040. Its totient is φ = 5835124162560.

The previous prime is 22133132101169. The next prime is 22133132101231. The reversal of 22133132101200 is 210123133122.

It is an interprime number because it is at equal distance from previous prime (22133132101169) and next prime (22133132101231).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110130406 + ... + 110331194.

It is an arithmetic number, because the mean of its divisors is an integer number (298778009796).

Almost surely, 2^{22133132101200} is an apocalyptic number.

22133132101200 is a gapful number since it is divisible by the number (20) 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 22133132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35853361175520).

22133132101200 is an abundant number, since it is smaller than the sum of its proper divisors (49573590249840).

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

22133132101200 is a wasteful number, since it uses less digits than its factorization.

22133132101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201854 (or 201843 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22133132101200 its reverse (210123133122), we get a palindrome (22343255234322).

The spelling of 22133132101200 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred one thousand, two hundred".