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12002112012 = 22311433735669
BaseRepresentation
bin10110010110110000…
…11011001000001100
31010222110002110111010
423023120123020030
5144040020041022
65302542525220
7603265161132
oct131330331014
933873073433
1012002112012
1150a9974440
1223ab596810
131193723c37
1481c00b752
154a3a3b50c
hex2cb61b20c

12002112012 has 96 divisors (see below), whose sum is σ = 31350654720. Its totient is φ = 3542273280.

The previous prime is 12002111987. The next prime is 12002112043. The reversal of 12002112012 is 21021120021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2114314 + ... + 2119982.

It is an arithmetic number, because the mean of its divisors is an integer number (326569320).

Almost surely, 212002112012 is an apocalyptic number.

12002112012 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 12002112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675327360).

12002112012 is an abundant number, since it is smaller than the sum of its proper divisors (19348542708).

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

12002112012 is a wasteful number, since it uses less digits than its factorization.

12002112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6101 counting only the distinct ones).

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

Adding to 12002112012 its reverse (21021120021), we get a palindrome (33023232033).

The spelling of 12002112012 in words is "twelve billion, two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 373 473 516 746 946 1119 1419 1492 1892 2238 2838 4103 4476 5669 5676 8206 11338 12309 16039 16412 17007 22676 24618 32078 34014 48117 49236 62359 64156 68028 96234 124718 176429 187077 192468 243767 249436 352858 374154 487534 529287 705716 731301 748308 975068 1058574 1462602 2114537 2117148 2681437 2925204 4229074 5362874 6343611 8044311 8458148 10725748 12687222 16088622 23259907 25374444 32177244 46519814 69779721 90925091 93039628 139559442 181850182 272775273 279118884 363700364 545550546 1000176001 1091101092 2000352002 3000528003 4000704004 6001056006 12002112012