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12210110212120 = 2351049290994047
BaseRepresentation
bin1011000110101110001101…
…0010000010100000011000
31121020021102120111210000121
42301223203102002200120
53100022301203241440
641545125221043024
72400102625235422
oct261534322024030
947207376453017
1012210110212120
113988307997007
121452499256474
136a75404a6ca2
14302d88711812
1516292dc7334a
hexb1ae3482818

12210110212120 has 32 divisors (see below), whose sum is σ = 27498937536000. Its totient is φ = 4879388163328.

The previous prime is 12210110212117. The next prime is 12210110212121. The reversal of 12210110212120 is 2121201101221.

It is a super-2 number, since 2×122101102121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210110212094 and 12210110212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210110212121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145455064 + ... + 145538983.

It is an arithmetic number, because the mean of its divisors is an integer number (859341798000).

Almost surely, 212210110212120 is an apocalyptic number.

12210110212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210110212120 is an abundant number, since it is smaller than the sum of its proper divisors (15288827323880).

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

12210110212120 is a wasteful number, since it uses less digits than its factorization.

12210110212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290995107 (or 290995103 counting only the distinct ones).

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

Adding to 12210110212120 its reverse (2121201101221), we get a palindrome (14331311313341).

The spelling of 12210110212120 in words is "twelve trillion, two hundred ten billion, one hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1049 2098 4196 5245 8392 10490 20980 41960 290994047 581988094 1163976188 1454970235 2327952376 2909940470 5819880940 11639761880 305252755303 610505510606 1221011021212 1526263776515 2442022042424 3052527553030 6105055106060 12210110212120