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12120430413 = 3713136132621
BaseRepresentation
bin10110100100110111…
…10001011101001101
31011021200201122211010
423102123301131031
5144310312233123
65322410515433
7606232646550
oct132233613515
934250648733
1012120430413
11515a737843
122423135b79
1311b20ac620
1482da0a697
154ae10d993
hex2d26f174d

12120430413 has 32 divisors (see below), whose sum is σ = 19905161472. Its totient is φ = 6388300800.

The previous prime is 12120430411. The next prime is 12120430463. The reversal of 12120430413 is 31403402121.

It is not a de Polignac number, because 12120430413 - 21 = 12120430411 is a prime.

It is a super-3 number, since 3×121204304133 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12120430413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120430411) 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 31 ways as a sum of consecutive naturals, for example, 355243 + ... + 387863.

It is an arithmetic number, because the mean of its divisors is an integer number (622036296).

Almost surely, 212120430413 is an apocalyptic number.

12120430413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12120430413 is a deficient number, since it is larger than the sum of its proper divisors (7784731059).

12120430413 is a wasteful number, since it uses less digits than its factorization.

12120430413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34005.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12120430413 its reverse (31403402121), we get a palindrome (43523832534).

The spelling of 12120430413 in words is "twelve billion, one hundred twenty million, four hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 1361 4083 9527 17693 28581 32621 53079 97863 123851 228347 371553 424073 685041 1272219 2968511 8905533 44397181 133191543 310780267 577163353 932340801 1731490059 4040143471 12120430413