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12111122133 = 3311172141101
BaseRepresentation
bin10110100011110000…
…10000111011010101
31011021001012202021000
423101320100323111
5144300421402013
65321435213513
7606060560655
oct132170207325
934231182230
1012111122133
11515545a350
12241bba7299
1311b01a0876
1482c6a6365
154ad3c0973
hex2d1e10ed5

12111122133 has 48 divisors (see below), whose sum is σ = 20792790720. Its totient is φ = 6908256000.

The previous prime is 12111122123. The next prime is 12111122141. The reversal of 12111122133 is 33122111121.

12111122133 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 12111122133 - 24 = 12111122117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111122123) 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, 15283 + ... + 156383.

It is an arithmetic number, because the mean of its divisors is an integer number (433183140).

Almost surely, 212111122133 is an apocalyptic number.

It is an amenable number.

12111122133 is a deficient number, since it is larger than the sum of its proper divisors (8681668587).

12111122133 is a wasteful number, since it uses less digits than its factorization.

12111122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141155 (or 141132 counting only the distinct ones).

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

Adding to 12111122133 its reverse (33122111121), we get a palindrome (45233233254).

The spelling of 12111122133 in words is "twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 289 297 459 561 867 1683 2601 3179 5049 7803 9537 28611 85833 141101 423303 1269909 1552111 2398717 3809727 4656333 7196151 13968999 21588453 26385887 40778189 41906997 64765359 79157661 122334567 237472983 367003701 448560079 712418949 1101011103 1345680237 4037040711 12111122133