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12000010111012 = 227112312071140333
BaseRepresentation
bin1010111010011111100001…
…0101110000100000100100
31120111012010100002210111101
42232213320111300200210
53033102010042023022
641304421210445444
72345654302653460
oct256477025604044
946435110083441
1012000010111012
1139071a2960410
121419823133884
1369079981cb31
142d6b370914a0
1515c233c6b627
hexae9f8570824

12000010111012 has 96 divisors (see below), whose sum is σ = 27322639110144. Its totient is φ = 4471651113600.

The previous prime is 12000010111003. The next prime is 12000010111021. The reversal of 12000010111012 is 21011101000021.

It is an interprime number because it is at equal distance from previous prime (12000010111003) and next prime (12000010111021).

It is a self number, because there is not a number n which added to its sum of digits gives 12000010111012.

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, 85440798 + ... + 85581130.

It is an arithmetic number, because the mean of its divisors is an integer number (284610824064).

Almost surely, 212000010111012 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 12000010111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661319555072).

12000010111012 is an abundant number, since it is smaller than the sum of its proper divisors (15322628999132).

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

12000010111012 is a wasteful number, since it uses less digits than its factorization.

12000010111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152449 (or 152447 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12000010111012 its reverse (21011101000021), we get a palindrome (33011111111033).

The spelling of 12000010111012 in words is "twelve trillion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084 12071 24142 48284 84497 132781 140333 168994 265562 277633 280666 337988 531124 555266 561332 929467 982331 1110532 1543663 1858934 1943431 1964662 3053963 3087326 3227659 3717868 3886862 3929324 6107926 6174652 6455318 7773724 10805641 12215852 12910636 21377741 21611282 22593613 35504249 42755482 43222564 45187226 71008498 85510964 90374452 142016996 248529743 497059486 994118972 1693959643 3387919286 6775838572 11857717501 18633556073 23715435002 37267112146 38961071789 47430870004 74534224292 77922143578 130434892511 155844287156 260869785022 272727502523 428571789679 521739570044 545455005046 857143579358 1090910010092 1714287158716 3000002527753 6000005055506 12000010111012