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12201110019 = 327536315791
BaseRepresentation
bin10110101110011111…
…00010101000000011
31011111022112121102200
423113033202220003
5144441441010034
65334412044243
7611232503220
oct132717425003
934438477380
1012201110019
1151a12325aa
122446163683
1311c5a1a137
1483a60c947
154b6248a99
hex2d73e2a03

12201110019 has 48 divisors (see below), whose sum is σ = 20557615104. Its totient is φ = 6828494400.

The previous prime is 12201110011. The next prime is 12201110021. The reversal of 12201110019 is 91001110221.

It is a happy number.

12201110019 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 12201110019 - 23 = 12201110011 is a prime.

It is a super-2 number, since 2×122011100192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201109983 and 12201110010.

It is not an unprimeable number, because it can be changed into a prime (12201110011) 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 47 ways as a sum of consecutive naturals, for example, 2104014 + ... + 2109804.

It is an arithmetic number, because the mean of its divisors is an integer number (428283648).

Almost surely, 212201110019 is an apocalyptic number.

12201110019 is a deficient number, since it is larger than the sum of its proper divisors (8356505085).

12201110019 is a wasteful number, since it uses less digits than its factorization.

12201110019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 12201110019 in words is "twelve billion, two hundred one million, one hundred ten thousand, nineteen".

Divisors: 1 3 7 9 21 53 63 159 371 477 631 1113 1893 3339 4417 5679 5791 13251 17373 33443 39753 40537 52119 100329 121611 234101 300987 306923 364833 702303 920769 2106909 2148461 2762307 3654121 6445383 10962363 19336149 25578847 32887089 76736541 193668413 230209623 581005239 1355678891 1743015717 4067036673 12201110019