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2221120320000 = 293542313667
BaseRepresentation
bin100000010100100101000…
…101100111001000000000
321212100002200201221211120
4200110211011213020000
5242342323300220000
64420211340512240
7316320301133031
oct40244505471000
97770080657746
102221120320000
11786a76574aaa
122ba57484b680
131315b23a4aca
1479707964a88
153cb9a7196a0
hex20525167200

2221120320000 has 200 divisors, whose sum is σ = 7394140505136. Its totient is φ = 592298496000.

The previous prime is 2221120319993. The next prime is 2221120320017. The reversal of 2221120320000 is 230211222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196834 + ... + 2116833.

Almost surely, 22221120320000 is an apocalyptic number.

2221120320000 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 2221120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697070252568).

2221120320000 is an abundant number, since it is smaller than the sum of its proper divisors (5173020185136).

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

2221120320000 is an frugal number, since it uses more digits than its factorization.

2221120320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313708 (or 2313677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2221120320000 its reverse (230211222), we get a palindrome (2221350531222).

The spelling of 2221120320000 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand".