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12133044012 = 22329307113567
BaseRepresentation
bin10110100110010111…
…11000111100101100
31011022120110111102110
423103023320330230
5144322024402022
65323541124020
7606445113105
oct132313707454
934276414373
1012133044012
115166872601
1224273b9610
1311b48a79ab
148315713ac
154b02a100c
hex2d32f8f2c

12133044012 has 48 divisors (see below), whose sum is σ = 29382312960. Its totient is φ = 3892133952.

The previous prime is 12133043977. The next prime is 12133044013. The reversal of 12133044012 is 21044033121.

It is a super-2 number, since 2×121330440122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12133044012.

It is not an unprimeable number, because it can be changed into a prime (12133044013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50053 + ... + 163619.

It is an arithmetic number, because the mean of its divisors is an integer number (612131520).

Almost surely, 212133044012 is an apocalyptic number.

12133044012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691156480).

12133044012 is an abundant number, since it is smaller than the sum of its proper divisors (17249268948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133044012 is a wasteful number, since it uses less digits than its factorization.

12133044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113910 (or 113908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12133044012 its reverse (21044033121), we get a palindrome (33177077133).

The spelling of 12133044012 in words is "twelve billion, one hundred thirty-three million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 307 348 614 921 1228 1842 3684 8903 17806 26709 35612 53418 106836 113567 227134 340701 454268 681402 1362804 3293443 6586886 9880329 13173772 19760658 34865069 39521316 69730138 104595207 139460276 209190414 418380828 1011087001 2022174002 3033261003 4044348004 6066522006 12133044012