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12243122134221 = 3114127133390667
BaseRepresentation
bin1011001000101001001011…
…1100100001110011001101
31121100102122020021011210010
42302022102330201303031
53101042403231243341
642012225045103433
72402351660033316
oct262122274416315
947312566234703
1012243122134221
1139a03082a3760
1214589709b7b79
136aa6a1868cc4
143047dab8760d
15163711ee8716
hexb2292f21ccd

12243122134221 has 32 divisors (see below), whose sum is σ = 18309839579136. Its totient is φ = 7212383856000.

The previous prime is 12243122134163. The next prime is 12243122134231.

12243122134221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12243122134221 - 27 = 12243122134093 is a prime.

It is a super-5 number, since 5×122431221342215 (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243122134231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16328671 + ... + 17061996.

It is an arithmetic number, because the mean of its divisors is an integer number (572182486848).

Almost surely, 212243122134221 is an apocalyptic number.

12243122134221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12243122134221 is a deficient number, since it is larger than the sum of its proper divisors (6066717444915).

12243122134221 is a wasteful number, since it uses less digits than its factorization.

12243122134221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33390993.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1224312 and 2134221, that added together give a palindrome (3358533).

The spelling of 12243122134221 in words is "twelve trillion, two hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 41 123 271 451 813 1353 2981 8943 11111 33333 122221 366663 33390667 100172001 367297337 1101892011 1369017347 4107052041 9048870757 15059190817 27146612271 45177572451 99537578327 298612734981 371003701037 1113011103111 4081040711407 12243122134221