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12133881123 = 3721319931907
BaseRepresentation
bin10110100110011110…
…00101010100100011
31011022122001000201120
423103033011110203
5144322233143443
65324011103323
7606455200500
oct132317052443
934278030646
1012133881123
115167294531
122427741b43
1311b4b0ba20
1483170c4a7
154b03b9083
hex2d33c5523

12133881123 has 48 divisors (see below), whose sum is σ = 20370067200. Its totient is φ = 6367927104.

The previous prime is 12133881107. The next prime is 12133881131. The reversal of 12133881123 is 32118833121.

It is a happy number.

12133881123 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 12133881123 - 24 = 12133881107 is a prime.

It is a super-2 number, since 2×121338811232 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133881143) 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, 364336 + ... + 396242.

It is an arithmetic number, because the mean of its divisors is an integer number (424376400).

Almost surely, 212133881123 is an apocalyptic number.

12133881123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12133881123 is a deficient number, since it is larger than the sum of its proper divisors (8236186077).

12133881123 is a wasteful number, since it uses less digits than its factorization.

12133881123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32136 (or 32129 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The spelling of 12133881123 in words is "twelve billion, one hundred thirty-three million, eight hundred eighty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 39 49 91 147 199 273 597 637 1393 1911 2587 4179 7761 9751 18109 29253 31907 54327 95721 126763 223349 380289 414791 670047 1244373 1563443 2903537 4690329 6349493 8710611 19048479 20324759 44446451 60974277 82543409 133339353 247630227 311125157 577803863 933375471 1733411589 4044627041 12133881123