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12002320000 = 27541123593
BaseRepresentation
bin10110010110110010…
…01101111010000000
31010222110111000210101
423023121031322000
5144040043220000
65302551212144
7603300015406
oct131331157200
933873430711
1012002320000
1150a9aa6730
1223ab677054
1311937977c8
1481c063476
154a3a7ce6a
hex2cb64de80

12002320000 has 320 divisors, whose sum is σ = 34069844160. Its totient is φ = 4167680000.

The previous prime is 12002319983. The next prime is 12002320051. The reversal of 12002320000 is 2320021.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20239704 + ... + 20240296.

It is an arithmetic number, because the mean of its divisors is an integer number (106468263).

Almost surely, 212002320000 is an apocalyptic number.

12002320000 is a gapful number since it is divisible by the number (10) 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 12002320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034922080).

12002320000 is an abundant number, since it is smaller than the sum of its proper divisors (22067524160).

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

12002320000 is an equidigital number, since it uses as much as digits as its factorization.

12002320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12002320000 its reverse (2320021), we get a palindrome (12004640021).

The spelling of 12002320000 in words is "twelve billion, two million, three hundred twenty thousand".