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12112215120 = 243451869169
BaseRepresentation
bin10110100011111000…
…11011110001010000
31011021010021021120000
423101330123301100
5144301211340440
65321514450000
7606103062345
oct132174336120
934233237500
1012112215120
115156036545
122420433900
1311b04941c5
1482c8ac7cc
154ad539730
hex2d1f1bc50

12112215120 has 100 divisors (see below), whose sum is σ = 42067540020. Its totient is φ = 3229922304.

The previous prime is 12112215113. The next prime is 12112215161. The reversal of 12112215120 is 2151221121.

12112215120 is a `hidden beast` number, since 121 + 12 + 21 + 512 + 0 = 666.

12112215120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1377597456 + 10734617664 = 37116^2 + 103608^2 .

It is a super-2 number, since 2×121122151202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12112215093 and 12112215102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 928105 + ... + 941064.

Almost surely, 212112215120 is an apocalyptic number.

12112215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112215120 is an abundant number, since it is smaller than the sum of its proper divisors (29955324900).

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

12112215120 is a wasteful number, since it uses less digits than its factorization.

12112215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869194 (or 1869179 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12112215120 its reverse (2151221121), we get a palindrome (14263436241).

The spelling of 12112215120 in words is "twelve billion, one hundred twelve million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1869169 3738338 5607507 7476676 9345845 11215014 14953352 16822521 18691690 22430028 28037535 29906704 33645042 37383380 44860056 50467563 56075070 67290084 74766760 84112605 89720112 100935126 112150140 134580168 149533520 151402689 168225210 201870252 224300280 252337815 269160336 302805378 336450420 403740504 448600560 504675630 605610756 672900840 757013445 807481008 1009351260 1211221512 1345801680 1514026890 2018702520 2422443024 3028053780 4037405040 6056107560 12112215120