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12322240000 = 295475501
BaseRepresentation
bin10110111100111011…
…00111011000000000
31011210202110122112021
423132131213120000
5200213443140000
65354420211224
7614233211650
oct133635473000
934722418467
1012322240000
115253646324
12247a839b14
131214b4b495
1484c740360
154c1bc411a
hex2de767600

12322240000 has 200 divisors, whose sum is σ = 35167155408. Its totient is φ = 4224000000.

The previous prime is 12322239991. The next prime is 12322240019. The reversal of 12322240000 is 4222321.

12322240000 is digitally balanced in base 2, 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 (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2237250 + ... + 2242750.

Almost surely, 212322240000 is an apocalyptic number.

12322240000 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 12322240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583577704).

12322240000 is an abundant number, since it is smaller than the sum of its proper divisors (22844915408).

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

12322240000 is an frugal number, since it uses more digits than its factorization.

12322240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12322240000 its reverse (4222321), we get a palindrome (12326462321).

The spelling of 12322240000 in words is "twelve billion, three hundred twenty-two million, two hundred forty thousand".