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12006210525 = 3521076312371
BaseRepresentation
bin10110010111010000…
…00011101111011101
31010222201210200120220
423023220003233131
5144042042214100
65303210431553
7603345051141
oct131350035735
933881720526
1012006210525
115101213741
1223b0a325b9
13119452a5aa
1481c797221
154a409aaa0
hex2cba03bdd

12006210525 has 48 divisors (see below), whose sum is σ = 20076000768. Its totient is φ = 6330744000.

The previous prime is 12006210521. The next prime is 12006210529. The reversal of 12006210525 is 52501260021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12006210521) and next prime (12006210529).

It is not a de Polignac number, because 12006210525 - 22 = 12006210521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12006210495 and 12006210504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006210521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5062590 + ... + 5064960.

It is an arithmetic number, because the mean of its divisors is an integer number (418250016).

Almost surely, 212006210525 is an apocalyptic number.

12006210525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12006210525 is a deficient number, since it is larger than the sum of its proper divisors (8069790243).

12006210525 is a wasteful number, since it uses less digits than its factorization.

12006210525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 12006210525 its reverse (52501260021), we get a palindrome (64507470546).

The spelling of 12006210525 in words is "twelve billion, six million, two hundred ten thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 107 321 535 631 1605 1893 2371 2675 3155 7113 8025 9465 11855 15775 35565 47325 59275 67517 177825 202551 253697 337585 761091 1012755 1268485 1496101 1687925 3805455 4488303 5063775 6342425 7480505 19027275 22441515 37402525 112207575 160082807 480248421 800414035 2401242105 4002070175 12006210525