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12120012012 = 22323472773373
BaseRepresentation
bin10110100100110100…
…01011010011101100
31011021122221101212210
423102122023103230
5144310210341022
65322353530420
7606226254663
oct132232132354
934248841783
1012120012012
11515a481459
122422b73a10
1311b1c94054
1482d93bdda
154ae079a0c
hex2d268b4ec

12120012012 has 96 divisors (see below), whose sum is σ = 30255224832. Its totient is φ = 3767360256.

The previous prime is 12120011993. The next prime is 12120012043. The reversal of 12120012012 is 21021002121.

12120012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3591558 + ... + 3594930.

It is an arithmetic number, because the mean of its divisors is an integer number (315158592).

Almost surely, 212120012012 is an apocalyptic number.

12120012012 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 12120012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127612416).

12120012012 is an abundant number, since it is smaller than the sum of its proper divisors (18135212820).

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

12120012012 is a wasteful number, since it uses less digits than its factorization.

12120012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120012012 its reverse (21021002121), we get a palindrome (33141014133).

The spelling of 12120012012 in words is "twelve billion, one hundred twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 277 282 554 564 831 1081 1108 1662 2162 3243 3324 3373 4324 6371 6486 6746 10119 12742 12972 13019 13492 19113 20238 25484 26038 38226 39057 40476 52076 76452 77579 78114 155158 156228 158531 232737 299437 310316 317062 465474 475593 598874 634124 898311 930948 934321 951186 1197748 1796622 1868642 1902372 2802963 3593244 3646213 3737284 5605926 7292426 10938639 11211852 14584852 21489383 21877278 42978766 43754556 43913087 64468149 85957532 87826174 128936298 131739261 175652348 257872596 263478522 526957044 1010001001 2020002002 3030003003 4040004004 6060006006 12120012012