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12321001000 = 2353721122859
BaseRepresentation
bin10110111100110001…
…11000111000101000
31011210200010200221101
423132120320320220
5200213134013000
65354333451144
7614216531500
oct133630707050
934720120841
1012321001000
11525297a460
12247a340ab4
131214806549
1484c4daa00
154c1a2be6a
hex2de638e28

12321001000 has 192 divisors, whose sum is σ = 36588801600. Its totient is φ = 3840144000.

The previous prime is 12321000997. The next prime is 12321001027. The reversal of 12321001000 is 10012321.

12321001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 527571 + ... + 550429.

It is an arithmetic number, because the mean of its divisors is an integer number (190566675).

Almost surely, 212321001000 is an apocalyptic number.

12321001000 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 12321001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294400800).

12321001000 is an abundant number, since it is smaller than the sum of its proper divisors (24267800600).

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

12321001000 is a wasteful number, since it uses less digits than its factorization.

12321001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22905 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12321001000 its reverse (10012321), we get a palindrome (12331013321).

The spelling of 12321001000 in words is "twelve billion, three hundred twenty-one million, one thousand".