Search a number
-
+
12112121133 = 337514712451
BaseRepresentation
bin10110100011111000…
…00100110100101101
31011021010002111122000
423101330010310231
5144301200334013
65321512442513
7606102221340
oct132174046455
934233074560
1012112121133
115155a81972
1224203a9439
1311b04604a8
1482c886457
154ad51b973
hex2d1f04d2d

12112121133 has 32 divisors (see below), whose sum is σ = 20512926720. Its totient is φ = 6919311600.

The previous prime is 12112121129. The next prime is 12112121137. The reversal of 12112121133 is 33112121121.

12112121133 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 (12112121129) and next prime (12112121137).

It is not a de Polignac number, because 12112121133 - 22 = 12112121129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112121137) 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 31 ways as a sum of consecutive naturals, for example, 966558 + ... + 979008.

It is an arithmetic number, because the mean of its divisors is an integer number (641028960).

Almost surely, 212112121133 is an apocalyptic number.

It is an amenable number.

12112121133 is a deficient number, since it is larger than the sum of its proper divisors (8400805587).

12112121133 is a wasteful number, since it uses less digits than its factorization.

12112121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614 (or 17608 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12112121133 its reverse (33112121121), we get a palindrome (45224242254).

The spelling of 12112121133 in words is "twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 5147 12451 15441 36029 37353 46323 87157 108087 112059 138969 261471 324261 336177 784413 972783 2353239 64085297 192255891 448597079 576767673 1345791237 1730303019 4037373711 12112121133