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12241322314221 = 37111337110172011
BaseRepresentation
bin1011001000100010011110…
…1010110000100111101101
31121100020222210120211220010
42302020213222300213231
53101030212003023341
642011330312443433
72402256243565560
oct262104752604755
947306883524803
1012241322314221
11399a574352310
12145854a0a9579
136aa475a0cb60
143046a9b1a4d7
15163658ec8716
hexb2227ab09ed

12241322314221 has 64 divisors (see below), whose sum is σ = 22506819987456. Its totient is φ = 5711316998400.

The previous prime is 12241322314217. The next prime is 12241322314237.

12241322314221 is nontrivially palindromic in base 10.

12241322314221 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 12241322314221 - 22 = 12241322314217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241322310221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54974895 + ... + 55197116.

It is an arithmetic number, because the mean of its divisors is an integer number (351669062304).

Almost surely, 212241322314221 is an apocalyptic number.

12241322314221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12241322314221 is a deficient number, since it is larger than the sum of its proper divisors (10265497673235).

12241322314221 is a wasteful number, since it uses less digits than its factorization.

12241322314221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110172082.

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

It can be divided in two parts, 1224132 and 2314221, that added together give a palindrome (3538353).

The spelling of 12241322314221 in words is "twelve trillion, two hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 110172011 330516033 771204077 1211892121 1432236143 2313612231 3635676363 4076364407 4296708429 8483244847 10025653001 12229093221 15754597573 25449734541 28534550849 30076959003 44840008477 47263792719 52992737291 85603652547 110282183011 134520025431 158978211873 313880059339 330846549033 370949161037 582920110201 941640178017 1112847483111 1748760330603 4080440771407 12241322314221