Search a number
-
+
12042330412 = 2274725136457
BaseRepresentation
bin10110011011100011…
…10110000100101100
31011002020202202202111
423031301312010230
5144130314033122
65310540533404
7604264056010
oct131561660454
934066682674
1012042330412
11511a644092
122400b51264
13119bb65cc8
148234ba540
154a7332d77
hex2cdc7612c

12042330412 has 48 divisors (see below), whose sum is σ = 24695774208. Its totient is φ = 5030928000.

The previous prime is 12042330403. The next prime is 12042330427. The reversal of 12042330412 is 21403324021.

12042330412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 312088 + ... + 348544.

It is an arithmetic number, because the mean of its divisors is an integer number (514495296).

Almost surely, 212042330412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347887104).

12042330412 is an abundant number, since it is smaller than the sum of its proper divisors (12653443796).

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

12042330412 is a wasteful number, since it uses less digits than its factorization.

12042330412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36766 (or 36764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12042330412 its reverse (21403324021), we get a palindrome (33445654433).

The spelling of 12042330412 in words is "twelve billion, forty-two million, three hundred thirty thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 47 94 188 251 329 502 658 1004 1316 1757 3514 7028 11797 23594 36457 47188 72914 82579 145828 165158 255199 330316 510398 1020796 1713479 3426958 6853916 9150707 11994353 18301414 23988706 36602828 47977412 64054949 128109898 256219796 430083229 860166458 1720332916 3010582603 6021165206 12042330412