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12112121211000 = 2335322917630453
BaseRepresentation
bin1011000001000001001010…
…1011101010100001111000
31120212220111112220202121220
42300100102223222201320
53041421111012223000
641432122012432040
72360033440411416
oct260202253524170
946786445822556
1012112121211000
11394a7a3730158
1214374b0a78620
1369b2254c3015
142dc3307b02b6
151600e63701a0
hexb0412aea878

12112121211000 has 128 divisors (see below), whose sum is σ = 37954841371200. Its totient is φ = 3215794444800.

The previous prime is 12112121210993. The next prime is 12112121211007. The reversal of 12112121211000 is 11212121121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12112121210993) and next prime (12112121211007).

It is a super-4 number, since 4×121121212110004 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112121211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8128227 + ... + 9502226.

Almost surely, 212112121211000 is an apocalyptic number.

12112121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112121211000 is an abundant number, since it is smaller than the sum of its proper divisors (25842720160200).

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

12112121211000 is a wasteful number, since it uses less digits than its factorization.

12112121211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630706 (or 17630692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112121211000 its reverse (11212121121), we get a palindrome (12123333332121).

The spelling of 12112121211000 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 229 250 300 375 458 500 600 687 750 916 1000 1145 1374 1500 1832 2290 2748 3000 3435 4580 5496 5725 6870 9160 11450 13740 17175 22900 27480 28625 34350 45800 57250 68700 85875 114500 137400 171750 229000 343500 687000 17630453 35260906 52891359 70521812 88152265 105782718 141043624 176304530 211565436 264456795 352609060 423130872 440761325 528913590 705218120 881522650 1057827180 1322283975 1763045300 2115654360 2203806625 2644567950 3526090600 4037373737 4407613250 5289135900 6611419875 8074747474 8815226500 10578271800 12112121211 13222839750 16149494948 17630453000 20186868685 24224242422 26445679500 32298989896 40373737370 48448484844 52891359000 60560606055 80747474740 96896969688 100934343425 121121212110 161494949480 201868686850 242242424220 302803030275 403737373700 484484848440 504671717125 605606060550 807474747400 1009343434250 1211212121100 1514015151375 2018686868500 2422424242200 3028030302750 4037373737000 6056060605500 12112121211000