Search a number
-
+
12008013312 = 29365911863
BaseRepresentation
bin10110010111011101…
…11011111000000000
31010222212012021112210
423023232323320000
5144043022411222
65303313222120
7603366300111
oct131356737000
933885167483
1012008013312
115102235149
1223b1561940
131194a0c029
1481cb06208
154a4304d0c
hex2cbbbbe00

12008013312 has 80 divisors (see below), whose sum is σ = 32041342080. Its totient is φ = 3996260352.

The previous prime is 12008013307. The next prime is 12008013323. The reversal of 12008013312 is 21331080021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006293 + ... + 1018155.

It is an arithmetic number, because the mean of its divisors is an integer number (400516776).

Almost surely, 212008013312 is an apocalyptic number.

12008013312 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 12008013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020671040).

12008013312 is an abundant number, since it is smaller than the sum of its proper divisors (20033328768).

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

12008013312 is an equidigital number, since it uses as much as digits as its factorization.

12008013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12008013312 its reverse (21331080021), we get a palindrome (33339093333).

The spelling of 12008013312 in words is "twelve billion, eight million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1318 1536 1977 2636 3954 5272 7908 10544 11863 15816 21088 23726 31632 35589 42176 47452 63264 71178 84352 94904 126528 142356 168704 189808 253056 284712 337408 379616 506112 569424 759232 1012224 1138848 1518464 2277696 3036928 4555392 6073856 7817717 9110784 15635434 18221568 23453151 31270868 46906302 62541736 93812604 125083472 187625208 250166944 375250416 500333888 750500832 1000667776 1501001664 2001335552 3002003328 4002671104 6004006656 12008013312