22000221312300 has 432 divisors, whose sum is σ = 85983978173184. Its totient is φ = 4570954560000.

The previous prime is 22000221312281. The next prime is 22000221312313. The reversal of 22000221312300 is 321312200022.

22000221312300 is a `hidden beast` number, since 220 + 0 + 0 + 2 + 213 + 1 + 230 + 0 = 666.

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, 1048567810 + ... + 1048588790.

It is an arithmetic number, because the mean of its divisors is an integer number (199036986512).

Almost surely, 2^{22000221312300} is an apocalyptic number.

22000221312300 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 22000221312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42991989086592).

22000221312300 is an abundant number, since it is smaller than the sum of its proper divisors (63983756860884).

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

22000221312300 is a wasteful number, since it uses less digits than its factorization.

22000221312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36150 (or 36140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22000221312300 its reverse (321312200022), we get a palindrome (22321533512322).

The spelling of 22000221312300 in words is "twenty-two trillion, two hundred twenty-one million, three hundred twelve thousand, three hundred".