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12112011221120 = 27518925017533
BaseRepresentation
bin1011000001000000110000…
…1000000101100010000000
31120212220012212221200212122
42300100030020011202000
53041420344333033440
641432103043143412
72360030633461256
oct260201410054200
946786185850778
1012112011221120
11394a747636128
121437480074b68
1369b208792455
142dc31dd3c5d6
151600db8957b5
hexb040c205880

12112011221120 has 32 divisors (see below), whose sum is σ = 28955276827020. Its totient is φ = 4844804488192.

The previous prime is 12112011221119. The next prime is 12112011221173. The reversal of 12112011221120 is 2112211021121.

It can be written as a sum of positive squares in 2 ways, for example, as 11620408312384 + 491602908736 = 3408872^2 + 701144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9462508127 + ... + 9462509406.

Almost surely, 212112011221120 is an apocalyptic number.

12112011221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112011221120 is an abundant number, since it is smaller than the sum of its proper divisors (16843265605900).

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

12112011221120 is an equidigital number, since it uses as much as digits as its factorization.

12112011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925017552 (or 18925017540 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12112011221120 its reverse (2112211021121), we get a palindrome (14224222242241).

The spelling of 12112011221120 in words is "twelve trillion, one hundred twelve billion, eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 18925017533 37850035066 75700070132 94625087665 151400140264 189250175330 302800280528 378500350660 605600561056 757000701320 1211201122112 1514001402640 2422402244224 3028002805280 6056005610560 12112011221120