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12120011211 = 37111011633187
BaseRepresentation
bin10110100100110100…
…01011000111001011
31011021122221100210010
423102122023013023
5144310210324321
65322353523003
7606226252440
oct132232130713
934248840703
1012120011211
11515a4808a0
122422b73463
1311b1c93889
1482d93b9c7
154ae079676
hex2d268b1cb

12120011211 has 64 divisors (see below), whose sum is σ = 20478283776. Its totient is φ = 6193584000.

The previous prime is 12120011203. The next prime is 12120011219. The reversal of 12120011211 is 11211002121.

12120011211 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 (12120011203) and next prime (12120011219).

It is not a de Polignac number, because 12120011211 - 23 = 12120011203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120011219) 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 63 ways as a sum of consecutive naturals, for example, 3801360 + ... + 3804546.

It is an arithmetic number, because the mean of its divisors is an integer number (319973184).

Almost surely, 212120011211 is an apocalyptic number.

12120011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12120011211 is a deficient number, since it is larger than the sum of its proper divisors (8358272565).

12120011211 is a wasteful number, since it uses less digits than its factorization.

12120011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120011211 its reverse (11211002121), we get a palindrome (23331013332).

The spelling of 12120011211 in words is "twelve billion, one hundred twenty million, eleven thousand, two hundred eleven".

Divisors: 1 3 7 11 21 33 77 101 163 231 303 489 707 1111 1141 1793 2121 3187 3333 3423 5379 7777 9561 12551 16463 22309 23331 35057 37653 49389 66927 105171 115241 181093 245399 321887 345723 519481 543279 736197 965661 1267651 1558443 2253209 3540757 3636367 3802953 5714291 6759627 10622271 10909101 17142873 24785299 40000037 52467581 74355897 120000111 157402743 367273067 577143391 1101819201 1731430173 4040003737 12120011211