220430120224000 has 216 divisors, whose sum is σ = 556744635333432. Its totient is φ = 86964144537600.

The previous prime is 220430120223947. The next prime is 220430120224001. The reversal of 220430120224000 is 422021034022.

It can be written as a sum of positive squares in 12 ways, for example, as 96988776530944 + 123441343693056 = 9848288^2 + 11110416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220430120224001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169881684 + ... + 171174316.

It is an arithmetic number, because the mean of its divisors is an integer number (2577521459877).

Almost surely, 2^{220430120224000} is an apocalyptic number.

220430120224000 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 220430120224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278372317666716).

220430120224000 is an abundant number, since it is smaller than the sum of its proper divisors (336314515109432).

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

220430120224000 is an frugal number, since it uses more digits than its factorization.

220430120224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292810 (or 1292713 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 220430120224000 its reverse (422021034022), we get a palindrome (220852141258022).

The spelling of 220430120224000 in words is "two hundred twenty trillion, four hundred thirty billion, one hundred twenty million, two hundred twenty-four thousand".