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12002013330012 = 22324092789292267
BaseRepresentation
bin1010111010100110111110…
…1111011011101001011100
31120111101021221111212100200
42232221233233123221130
53033120110403030022
641305352050423500
72346055036023216
oct256515757335134
946441257455320
1012002013330012
1139080306a6502
12141a0a1b91b90
13690a28853414
142d6c871475b6
1515c2eea67bac
hexaea6fbdba5c

12002013330012 has 72 divisors (see below), whose sum is σ = 30423608233200. Its totient is φ = 3989444928768.

The previous prime is 12002013329981. The next prime is 12002013330017. The reversal of 12002013330012 is 21003331020021.

12002013330012 is a `hidden beast` number, since 1 + 200 + 20 + 133 + 300 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002013330017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40919103 + ... + 41211369.

It is an arithmetic number, because the mean of its divisors is an integer number (422550114350).

Almost surely, 212002013330012 is an apocalyptic number.

12002013330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002013330012 is an abundant number, since it is smaller than the sum of its proper divisors (18421594903188).

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

12002013330012 is a wasteful number, since it uses less digits than its factorization.

12002013330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295475 (or 295470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002013330012 its reverse (21003331020021), we get a palindrome (33005344350033).

The spelling of 12002013330012 in words is "twelve trillion, two billion, thirteen million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1636 2454 2789 3681 4908 5578 7362 8367 11156 14724 16734 25101 33468 50202 100404 292267 584534 876801 1140701 1169068 1753602 2281402 2630403 3422103 3507204 4562804 5260806 6844206 10266309 10521612 13688412 20532618 41065236 119537203 239074406 358611609 478148812 717223218 815132663 1075834827 1434446436 1630265326 2151669654 2445397989 3260530652 4303339308 4890795978 7336193967 9781591956 14672387934 29344775868 333389259167 666778518334 1000167777501 1333557036668 2000335555002 3000503332503 4000671110004 6001006665006 12002013330012