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12102222220121 = 1117207433119981
BaseRepresentation
bin1011000000011100010010…
…1010000000101101011001
31120211221221200012220222002
42300013010222000231121
53041240322342020441
641423403435010345
72356233230363615
oct260070452005531
946757850186862
1012102222220121
113946583a36860
1214355a98999b5
1369a308710777
142dba71c22345
1515ec172b5b9b
hexb01c4a80b59

12102222220121 has 16 divisors (see below), whose sum is σ = 13979715827328. Its totient is φ = 10354340025600.

The previous prime is 12102222220103. The next prime is 12102222220273.

12102222220121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12102222220121 - 26 = 12102222220057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12102222220093 and 12102222220102.

It is not an unprimeable number, because it can be changed into a prime (12102222220321) 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 15 ways as a sum of consecutive naturals, for example, 2318951 + ... + 5438931.

It is an arithmetic number, because the mean of its divisors is an integer number (873732239208).

Almost surely, 212102222220121 is an apocalyptic number.

12102222220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102222220121 is a deficient number, since it is larger than the sum of its proper divisors (1877493607207).

12102222220121 is a wasteful number, since it uses less digits than its factorization.

12102222220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140752.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1210222 and 2220121, that added together give a palindrome (3430343).

The spelling of 12102222220121 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 17 187 20743 228173 352631 3119981 3878941 34319791 53039677 583436447 64717765883 711895424713 1100202020011 12102222220121