Search a number
-
+
12022210112121 = 3211412961865019
BaseRepresentation
bin1010111011110010001110…
…0100000010101001111001
31120120022102111022200220200
42232330203210002221321
53033432441242041441
641322532125512413
72350401400602666
oct256744344025171
946508374280820
1012022210112121
11391565520a870
121421b99a12709
136928c6c29771
142d7c41614a6d
1515cad2c047b6
hexaef23902a79

12022210112121 has 24 divisors (see below), whose sum is σ = 19406139611040. Its totient is φ = 7108476043200.

The previous prime is 12022210112119. The next prime is 12022210112137. The reversal of 12022210112121 is 12121101222021.

12022210112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12022210112121 - 21 = 12022210112119 is a prime.

It is a super-2 number, since 2×120222101121212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12022210112094 and 12022210112103.

It is not an unprimeable number, because it can be changed into a prime (12022210112821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480928451 + ... + 1480936568.

It is an arithmetic number, because the mean of its divisors is an integer number (808589150460).

Almost surely, 212022210112121 is an apocalyptic number.

12022210112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022210112121 is a deficient number, since it is larger than the sum of its proper divisors (7383929498919).

12022210112121 is a wasteful number, since it uses less digits than its factorization.

12022210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961865077 (or 2961865074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12022210112121 its reverse (12121101222021), we get a palindrome (24143311334142).

The spelling of 12022210112121 in words is "twelve trillion, twenty-two billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 2961865019 8885595057 26656785171 32580515209 97741545627 121436465779 293224636881 364309397337 1092928192011 1335801123569 4007403370707 12022210112121