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12211002125 = 53721993633
BaseRepresentation
bin10110101111101010…
…10001101100001101
31011112000011011211222
423113311101230031
5200002004032000
65335404053125
7611412543200
oct132765215415
934460134758
1012211002125
1151a68796a3
1224495341a5
1311c7aa185a
1483ba65937
154b704ea85
hex2d7d51b0d

12211002125 has 24 divisors (see below), whose sum is σ = 17727393528. Its totient is φ = 8373254400.

The previous prime is 12211002109. The next prime is 12211002149. The reversal of 12211002125 is 52120011221.

It can be written as a sum of positive squares in 4 ways, for example, as 1275489796 + 10935512329 = 35714^2 + 104573^2 .

It is not a de Polignac number, because 12211002125 - 24 = 12211002109 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 990692 + ... + 1002941.

It is an arithmetic number, because the mean of its divisors is an integer number (738641397).

Almost surely, 212211002125 is an apocalyptic number.

It is an amenable number.

12211002125 is a deficient number, since it is larger than the sum of its proper divisors (5516391403).

12211002125 is an equidigital number, since it uses as much as digits as its factorization.

12211002125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993662 (or 1993645 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 12211002125 its reverse (52120011221), we get a palindrome (64331013346).

The spelling of 12211002125 in words is "twelve billion, two hundred eleven million, two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 875 1225 6125 1993633 9968165 13955431 49840825 69777155 97688017 249204125 348885775 488440085 1744428875 2442200425 12211002125