Search a number
-
+
12132440412 = 2232591390211
BaseRepresentation
bin10110100110010011…
…00101100101011100
31011022112022211102220
423103021211211130
5144321401043122
65323520145340
7606440020251
oct132311454534
934275284386
1012132440412
1151664a0064
122427168250
1311b4726031
14831455428
154b01d225c
hex2d326595c

12132440412 has 24 divisors (see below), whose sum is σ = 28320026112. Its totient is φ = 4042575600.

The previous prime is 12132440401. The next prime is 12132440413. The reversal of 12132440412 is 21404423121.

12132440412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121324404122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132440413) 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 7 ways as a sum of consecutive naturals, for example, 164014 + ... + 226197.

It is an arithmetic number, because the mean of its divisors is an integer number (1180001088).

Almost surely, 212132440412 is an apocalyptic number.

12132440412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132440412 is an abundant number, since it is smaller than the sum of its proper divisors (16187585700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12132440412 is a wasteful number, since it uses less digits than its factorization.

12132440412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392809 (or 392807 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12132440412 its reverse (21404423121), we get a palindrome (33536863533).

The spelling of 12132440412 in words is "twelve billion, one hundred thirty-two million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 2591 5182 7773 10364 15546 31092 390211 780422 1170633 1560844 2341266 4682532 1011036701 2022073402 3033110103 4044146804 6066220206 12132440412