22451211300 has 288 divisors, whose sum is σ = 80844825600. Its totient is φ = 4693731840.

The previous prime is 22451211229. The next prime is 22451211301. The reversal of 22451211300 is 311215422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22451211301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1147399 + ... + 1166801.

It is an arithmetic number, because the mean of its divisors is an integer number (280711200).

Almost surely, 2^22451211300 is an apocalyptic number.

22451211300 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 22451211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422412800).

22451211300 is an abundant number, since it is smaller than the sum of its proper divisors (58393614300).

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

22451211300 is a wasteful number, since it uses less digits than its factorization.

22451211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19475 (or 19468 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 22451211300 its reverse (311215422), we get a palindrome (22762426722).

The spelling of 22451211300 in words is "twenty-two billion, four hundred fifty-one million, two hundred eleven thousand, three hundred".