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12057513221 = 131974365701
BaseRepresentation
bin10110011101010111…
…10000110100000101
31011010022100010122202
423032223300310011
5144143210410341
65312242204245
7604540112525
oct131653606405
934108303582
1012057513221
115128174166
122406053685
1311a2050910
1482550d685
154a883179b
hex2ceaf0d05

12057513221 has 16 divisors (see below), whose sum is σ = 13687040640. Its totient is φ = 10529870400.

The previous prime is 12057513203. The next prime is 12057513239. The reversal of 12057513221 is 12231575021.

12057513221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12057513203) and next prime (12057513239).

It is a cyclic number.

It is not a de Polignac number, because 12057513221 - 210 = 12057512197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057513521) 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, 150671 + ... + 216371.

It is an arithmetic number, because the mean of its divisors is an integer number (855440040).

Almost surely, 212057513221 is an apocalyptic number.

It is an amenable number.

12057513221 is a deficient number, since it is larger than the sum of its proper divisors (1629527419).

12057513221 is a wasteful number, since it uses less digits than its factorization.

12057513221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66476.

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 12057513221 in words is "twelve billion, fifty-seven million, five hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 13 19 247 743 9659 14117 65701 183521 854113 1248319 16228147 48815843 634605959 927501017 12057513221