22124230228800 has 840 divisors, whose sum is σ = 94117460898560. Its totient is φ = 4992938496000.

The previous prime is 22124230228799. The next prime is 22124230228811. The reversal of 22124230228800 is 882203242122.

22124230228800 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 423 + 0 + 228 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71514450 + ... + 71823150.

Almost surely, 2^{22124230228800} is an apocalyptic number.

22124230228800 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 22124230228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47058730449280).

22124230228800 is an abundant number, since it is smaller than the sum of its proper divisors (71993230669760).

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

22124230228800 is a wasteful number, since it uses less digits than its factorization.

22124230228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308821 (or 308797 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22124230228800 in words is "twenty-two trillion, one hundred twenty-four billion, two hundred thirty million, two hundred twenty-eight thousand, eight hundred".