220340120000 has 560 divisors, whose sum is σ = 733723533312. Its totient is φ = 63383040000.

The previous prime is 220340119981. The next prime is 220340120041. The reversal of 220340120000 is 21043022.

220340120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×220340120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40037249 + ... + 40042751.

Almost surely, 2^220340120000 is an apocalyptic number.

220340120000 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 220340120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366861766656).

220340120000 is an abundant number, since it is smaller than the sum of its proper divisors (513383413312).

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

220340120000 is a wasteful number, since it uses less digits than its factorization.

220340120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 220340120000 its reverse (21043022), we get a palindrome (220361163022).

The spelling of 220340120000 in words is "two hundred twenty billion, three hundred forty million, one hundred twenty thousand".