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12012407040 = 28354996269
BaseRepresentation
bin10110010111111111…
…01100100100000000
31011000011110111121110
423023333230210000
5144100134011130
65303551323320
7603451526604
oct131377544400
934004414543
1012012407040
115104766227
1223b2b20540
1311958b9b7a
1481d52b504
154a48c1ab0
hex2cbfec900

12012407040 has 144 divisors (see below), whose sum is σ = 38447640000. Its totient is φ = 3196379136.

The previous prime is 12012407003. The next prime is 12012407047. The reversal of 12012407040 is 4070421021.

It is a happy number.

12012407040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12012406998 and 12012407016.

It is not an unprimeable number, because it can be changed into a prime (12012407047) 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 15 ways as a sum of consecutive naturals, for example, 1913026 + ... + 1919294.

It is an arithmetic number, because the mean of its divisors is an integer number (266997500).

Almost surely, 212012407040 is an apocalyptic number.

12012407040 is a gapful number since it is divisible by the number (10) 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 12012407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223820000).

12012407040 is an abundant number, since it is smaller than the sum of its proper divisors (26435232960).

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

12012407040 is an equidigital number, since it uses as much as digits as its factorization.

12012407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 12012407040 its reverse (4070421021), we get a palindrome (16082828061).

The spelling of 12012407040 in words is "twelve billion, twelve million, four hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 499 640 768 960 998 1280 1497 1920 1996 2495 2994 3840 3992 4990 5988 6269 7485 7984 9980 11976 12538 14970 15968 18807 19960 23952 25076 29940 31345 31936 37614 39920 47904 50152 59880 62690 63872 75228 79840 94035 95808 100304 119760 125380 127744 150456 159680 188070 191616 200608 239520 250760 300912 319360 376140 383232 401216 479040 501520 601824 638720 752280 802432 958080 1003040 1203648 1504560 1604864 1916160 2006080 2407296 3009120 3128231 4012160 4814592 6018240 6256462 8024320 9384693 12036480 12512924 15641155 18769386 24072960 25025848 31282310 37538772 46923465 50051696 62564620 75077544 93846930 100103392 125129240 150155088 187693860 200206784 250258480 300310176 375387720 400413568 500516960 600620352 750775440 800827136 1001033920 1201240704 1501550880 2002067840 2402481408 3003101760 4004135680 6006203520 12012407040