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12231244213221 = 3112711363737591
BaseRepresentation
bin1011000111111100111011…
…1101110110101111100101
31121022021222102212021100010
42301333032331312233211
53100344042004310341
642002542300040433
72401451430260115
oct261771675665745
947267872767303
1012231244213221
113996272543920
1214565b6b33119
136a952aaa8797
14303dd1467045
1516326933e716
hexb1fcef76be5

12231244213221 has 32 divisors (see below), whose sum is σ = 17802830186496. Its totient is φ = 7407906408000.

The previous prime is 12231244213141. The next prime is 12231244213277.

12231244213221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12231244213221 - 214 = 12231244196837 is a prime.

It is a super-2 number, since 2×122312442132212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231244214221) 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, 325358136 + ... + 325395726.

It is an arithmetic number, because the mean of its divisors is an integer number (556338443328).

Almost surely, 212231244213221 is an apocalyptic number.

12231244213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12231244213221 is a deficient number, since it is larger than the sum of its proper divisors (5571585973275).

12231244213221 is a wasteful number, since it uses less digits than its factorization.

12231244213221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43953.

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

It can be divided in two parts, 1223124 and 4213221, that added together give a palindrome (5436345).

The spelling of 12231244213221 in words is "twelve trillion, two hundred thirty-one billion, two hundred forty-four million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 11 33 2711 3637 8133 10911 29821 37591 40007 89463 112773 120021 413501 1240503 9859907 29579721 101909201 108458977 136718467 305727603 325376931 410155401 1121001211 1503903137 3363003633 4511709411 370643764037 1111931292111 4077081404407 12231244213221