Search a number
-
+
12102111120121 = 113433732041003
BaseRepresentation
bin1011000000011011111000…
…0010001100101011111001
31120211221122221011110102021
42300012332002030223321
53041240110421320441
641423344425434441
72356230411141121
oct260067602145371
946757587143367
1012102111120121
113946527253780
12143557863ba21
1369a2bb6b1819
142dba61181c81
1515ec0c66c3d1
hexb01be08caf9

12102111120121 has 8 divisors (see below), whose sum is σ = 13202687944224. Its totient is φ = 11001598446720.

The previous prime is 12102111120061. The next prime is 12102111120137.

12102111120121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12102111120121 - 225 = 12102077565689 is a prime.

It is a super-2 number, since 2×121021111201212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12102111120095 and 12102111120104.

It is not an unprimeable number, because it can be changed into a prime (12102111120521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15642795 + ... + 16398208.

It is an arithmetic number, because the mean of its divisors is an integer number (1650335993028).

Almost surely, 212102111120121 is an apocalyptic number.

12102111120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102111120121 is a deficient number, since it is larger than the sum of its proper divisors (1100576824103).

12102111120121 is a wasteful number, since it uses less digits than its factorization.

12102111120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32075351.

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

It can be divided in two parts, 1210211 and 1120121, that added together give a palindrome (2330332).

The spelling of 12102111120121 in words is "twelve trillion, one hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 34337 377707 32041003 352451033 1100191920011 12102111120121