22132201011300 has 432 divisors, whose sum is σ = 73573349129280. Its totient is φ = 5557367854080.

The previous prime is 22132201011253. The next prime is 22132201011353. The reversal of 22132201011300 is 311010223122.

22132201011300 is a `hidden beast` number, since 2 + 21 + 322 + 0 + 10 + 11 + 300 = 666.

It is a super-3 number, since 3×22132201011300³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156006199 + ... + 156148001.

It is an arithmetic number, because the mean of its divisors is an integer number (170308678540).

Almost surely, 2^{22132201011300} is an apocalyptic number.

22132201011300 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 22132201011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36786674564640).

22132201011300 is an abundant number, since it is smaller than the sum of its proper divisors (51441148117980).

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

22132201011300 is a wasteful number, since it uses less digits than its factorization.

22132201011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142012 (or 142002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132201011300 its reverse (311010223122), we get a palindrome (22443211234422).

The spelling of 22132201011300 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred one million, eleven thousand, three hundred".