20132134222200 has 768 divisors, whose sum is σ = 84350041251840. Its totient is φ = 3835918080000.

The previous prime is 20132134222199. The next prime is 20132134222217. The reversal of 20132134222200 is 222243123102.

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 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, 90579607 + ... + 90801593.

It is an arithmetic number, because the mean of its divisors is an integer number (109830782880).

Almost surely, 2^{20132134222200} is an apocalyptic number.

20132134222200 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 20132134222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42175020625920).

20132134222200 is an abundant number, since it is smaller than the sum of its proper divisors (64217907029640).

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

20132134222200 is a wasteful number, since it uses less digits than its factorization.

20132134222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222188 (or 222179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20132134222200 its reverse (222243123102), we get a palindrome (20354377345302).

The spelling of 20132134222200 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-four million, two hundred twenty-two thousand, two hundred".