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12001222321 = 115322879001
BaseRepresentation
bin10110010110101010…
…00001111010110001
31010222101102021001121
423023111001322301
5144034303103241
65302511502241
7603254464234
oct131325017261
933871367047
1012001222321
1150a9416a60
1223ab227981
1311934a1caa
1481bc5941b
154a3912ad1
hex2cb541eb1

12001222321 has 16 divisors (see below), whose sum is σ = 13346581248. Its totient is φ = 10698480000.

The previous prime is 12001222319. The next prime is 12001222349. The reversal of 12001222321 is 12322210021.

It is a happy number.

12001222321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001222321 - 21 = 12001222319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001222295 and 12001222304.

It is not an unprimeable number, because it can be changed into a prime (12001222621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1328821 + ... + 1337821.

It is an arithmetic number, because the mean of its divisors is an integer number (834161328).

Almost surely, 212001222321 is an apocalyptic number.

12001222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001222321 is a deficient number, since it is larger than the sum of its proper divisors (1345358927).

12001222321 is a wasteful number, since it uses less digits than its factorization.

12001222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12001222321 its reverse (12322210021), we get a palindrome (24323432342).

The spelling of 12001222321 in words is "twelve billion, one million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 53 583 2287 9001 25157 99011 121211 477053 1333321 5247583 20585287 226438157 1091020211 12001222321