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12221210001 = 37211131937827
BaseRepresentation
bin10110110000111000…
…01101110110010001
31011112201100210102110
423120130031312101
5200012112210001
65340410535533
7611565366600
oct133034156621
934481323373
1012221210001
115201610a60
122450a375a9
1311c9c36c10
1483d161a37
154b7db93d6
hex2d870dd91

12221210001 has 192 divisors, whose sum is σ = 24103941120. Its totient is φ = 5395299840.

The previous prime is 12221209997. The next prime is 12221210009. The reversal of 12221210001 is 10001212221.

12221210001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221210001 - 22 = 12221209997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221210009) 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 191 ways as a sum of consecutive naturals, for example, 14777350 + ... + 14778176.

It is an arithmetic number, because the mean of its divisors is an integer number (125541360).

Almost surely, 212221210001 is an apocalyptic number.

12221210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221210001 is a deficient number, since it is larger than the sum of its proper divisors (11882731119).

12221210001 is a wasteful number, since it uses less digits than its factorization.

12221210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221210001 its reverse (10001212221), we get a palindrome (22222422222).

It can be divided in two parts, 12221 and 210001, that added together give a palindrome (222222).

The spelling of 12221210001 in words is "twelve billion, two hundred twenty-one million, two hundred ten thousand, one".