22220434640000 has 320 divisors, whose sum is σ = 58929645852000. Its totient is φ = 8318877696000.

The previous prime is 22220434639957. The next prime is 22220434640021. The reversal of 22220434640000 is 4643402222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126071936 + ... + 126248064.

Almost surely, 2^{22220434640000} is an apocalyptic number.

22220434640000 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 22220434640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29464822926000).

22220434640000 is an abundant number, since it is smaller than the sum of its proper divisors (36709211212000).

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

22220434640000 is an equidigital number, since it uses as much as digits as its factorization.

22220434640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176265 (or 176238 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The spelling of 22220434640000 in words is "twenty-two trillion, two hundred twenty billion, four hundred thirty-four million, six hundred forty thousand".