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12132020301 = 317243325421
BaseRepresentation
bin10110100110001111…
…11111000001001101
31011022111112111011020
423103013333001031
5144321244122201
65323503144353
7606433320402
oct132307770115
934274474136
1012132020301
115166233465
122426ba50b9
1311b4609a4b
148313862a9
154b014ca36
hex2d31ff04d

12132020301 has 24 divisors (see below), whose sum is σ = 17583201504. Its totient is φ = 7435196160.

The previous prime is 12132020297. The next prime is 12132020311. The reversal of 12132020301 is 10302023121.

It is not a de Polignac number, because 12132020301 - 22 = 12132020297 is a prime.

It is a super-3 number, since 3×121320203013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132020311) 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 23 ways as a sum of consecutive naturals, for example, 125430 + ... + 199991.

It is an arithmetic number, because the mean of its divisors is an integer number (732633396).

Almost surely, 212132020301 is an apocalyptic number.

It is an amenable number.

12132020301 is a deficient number, since it is larger than the sum of its proper divisors (5451181203).

12132020301 is a wasteful number, since it uses less digits than its factorization.

12132020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325501 (or 325484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12132020301 its reverse (10302023121), we get a palindrome (22434043422).

The spelling of 12132020301 in words is "twelve billion, one hundred thirty-two million, twenty thousand, three hundred one".

Divisors: 1 3 17 43 51 129 289 731 867 2193 12427 37281 325421 976263 5532157 13993103 16596471 41979309 94046669 237882751 282140007 713648253 4044006767 12132020301