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12721221125 = 531712494793
BaseRepresentation
bin10111101100011111…
…00110111000000101
31012211120012222201222
423312033212320011
5202023113034000
65502151530125
7630146411144
oct136617467005
935746188658
1012721221125
115438885798
122570389945
1312796c40a2
1488971b75b
154e6c35a85
hex2f63e6e05

12721221125 has 32 divisors (see below), whose sum is σ = 16826940000. Its totient is φ = 9568665600.

The previous prime is 12721221061. The next prime is 12721221131. The reversal of 12721221125 is 52112212721.

It can be written as a sum of positive squares in 16 ways, for example, as 5183856001 + 7537365124 = 71999^2 + 86818^2 .

It is not a de Polignac number, because 12721221125 - 26 = 12721221061 is a prime.

It is a super-2 number, since 2×127212211252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12721221094 and 12721221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651729 + ... + 2656521.

It is an arithmetic number, because the mean of its divisors is an integer number (525841875).

Almost surely, 212721221125 is an apocalyptic number.

It is an amenable number.

12721221125 is a deficient number, since it is larger than the sum of its proper divisors (4105718875).

12721221125 is a wasteful number, since it uses less digits than its factorization.

12721221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6064 counting only the distinct ones).

The product of its digits is 1120, while the sum is 26.

Adding to 12721221125 its reverse (52112212721), we get a palindrome (64833433846).

The spelling of 12721221125 in words is "twelve billion, seven hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 1249 2125 4793 6245 21233 23965 31225 81481 106165 119825 156125 407405 530825 599125 2037025 2654125 5986457 10185125 29932285 101769769 149661425 508848845 748307125 2544244225 12721221125