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12210011212120 = 2355310157024151
BaseRepresentation
bin1011000110101101110101…
…1000011000100101011000
31121020021011200020001112221
42301223131120120211120
53100022100332241440
641545111323113424
72400100313606611
oct261533530304530
947207150201487
1012210011212120
113988267018927
121452470072874
136a7525b236c7
14302d79500c08
15162925219d4a
hexb1add618958

12210011212120 has 64 divisors (see below), whose sum is σ = 28268012629440. Its totient is φ = 4744409280000.

The previous prime is 12210011212093. The next prime is 12210011212199. The reversal of 12210011212120 is 2121211001221.

It is a super-2 number, since 2×122100112121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210011212094 and 12210011212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28297956 + ... + 28726195.

It is an arithmetic number, because the mean of its divisors is an integer number (441687697335).

Almost surely, 212210011212120 is an apocalyptic number.

12210011212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011212120 is an abundant number, since it is smaller than the sum of its proper divisors (16058001417320).

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

12210011212120 is a wasteful number, since it uses less digits than its factorization.

12210011212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57024316 (or 57024312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210011212120 its reverse (2121211001221), we get a palindrome (14331222213341).

The spelling of 12210011212120 in words is "twelve trillion, two hundred ten billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 2020 2120 4040 5353 10706 21412 26765 42824 53530 107060 214120 57024151 114048302 228096604 285120755 456193208 570241510 1140483020 2280966040 3022280003 5759439251 6044560006 11518878502 12089120012 15111400015 23037757004 24178240024 28797196255 30222800030 46075514008 57594392510 60445600060 115188785020 120891200120 230377570040 305250280303 610500560606 1221001121212 1526251401515 2442002242424 3052502803030 6105005606060 12210011212120