21226224600 has 576 divisors, whose sum is σ = 84513162240. Its totient is φ = 4673894400.

The previous prime is 21226224589. The next prime is 21226224671. The reversal of 21226224600 is 642262212.

It is a happy number.

21226224600 is a `hidden beast` number, since 2 + 12 + 26 + 2 + 24 + 600 = 666.

It is a super-2 number, since 2×21226224600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 43230355 + ... + 43230845.

It is an arithmetic number, because the mean of its divisors is an integer number (146724240).

Almost surely, 2^21226224600 is an apocalyptic number.

21226224600 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 21226224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42256581120).

21226224600 is an abundant number, since it is smaller than the sum of its proper divisors (63286937640).

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

21226224600 is a wasteful number, since it uses less digits than its factorization.

21226224600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21226224600 its reverse (642262212), we get a palindrome (21868486812).

The spelling of 21226224600 in words is "twenty-one billion, two hundred twenty-six million, two hundred twenty-four thousand, six hundred".