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12000122112220 = 22511101540059501
BaseRepresentation
bin1010111010011111111100…
…0001000000100011011100
31120111012102010212001021021
42232213333001000203130
53033102222230042340
641304440251213524
72345660132651554
oct256477701004334
946435363761237
1012000122112220
1139072500a95a0
1214198547472a4
136907b6aa6038
142d6b47cc8164
1515c23d9e1e4a
hexae9ff0408dc

12000122112220 has 48 divisors (see below), whose sum is σ = 27763378878816. Its totient is φ = 4320476000000.

The previous prime is 12000122112197. The next prime is 12000122112229. The reversal of 12000122112220 is 2221122100021.

It is a happy number.

12000122112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000122112194 and 12000122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000122112229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270007531 + ... + 270051970.

It is an arithmetic number, because the mean of its divisors is an integer number (578403726642).

Almost surely, 212000122112220 is an apocalyptic number.

12000122112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000122112220 is an abundant number, since it is smaller than the sum of its proper divisors (15763256766596).

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

12000122112220 is a wasteful number, since it uses less digits than its factorization.

12000122112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540059622 (or 540059620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12000122112220 its reverse (2221122100021), we get a palindrome (14221244212241).

The spelling of 12000122112220 in words is "twelve trillion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 540059501 1080119002 2160238004 2700297505 5400595010 5940654511 10801190020 11881309022 23762618044 29703272555 54546009601 59406545110 109092019202 118813090220 218184038404 272730048005 545460096010 600006105611 1090920192020 1200012211222 2400024422444 3000030528055 6000061056110 12000122112220