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12121130133 = 327798772777
BaseRepresentation
bin10110100100111100…
…11100010010010101
31011021202001012122200
423102132130102111
5144311002131013
65322433515113
7606241622550
oct132236342225
934252035580
1012121130133
115160075522
122423412a99
1311b2295c68
1482db4d697
154ae1eae73
hex2d279c495

12121130133 has 48 divisors (see below), whose sum is σ = 20293178880. Its totient is φ = 6828427008.

The previous prime is 12121130129. The next prime is 12121130159. The reversal of 12121130133 is 33103112121.

12121130133 is a `hidden beast` number, since 121 + 211 + 301 + 33 = 666.

12121130133 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 12121130133 - 22 = 12121130129 is a prime.

It is a super-2 number, since 2×121211301332 (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 (12121131133) 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, 4363441 + ... + 4366217.

It is an arithmetic number, because the mean of its divisors is an integer number (422774560).

Almost surely, 212121130133 is an apocalyptic number.

It is an amenable number.

12121130133 is a deficient number, since it is larger than the sum of its proper divisors (8172048747).

12121130133 is a wasteful number, since it uses less digits than its factorization.

12121130133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12121130133 its reverse (33103112121), we get a palindrome (45224242254).

The spelling of 12121130133 in words is "twelve billion, one hundred twenty-one million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 79 237 553 711 877 1659 2631 2777 4977 6139 7893 8331 18417 19439 24993 55251 58317 69283 174951 207849 219383 484981 623547 658149 1454943 1535681 1974447 2435429 4364829 4607043 7306287 13821129 17048003 21918861 51144009 153432027 192398891 577196673 1346792237 1731590019 4040376711 12121130133