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12221352788784 = 2431511686168983
BaseRepresentation
bin1011000111011000000101…
…1001000100001100110000
31121021100110002101211212220
42301312001121010030300
53100213312303220114
641554224552321040
72400651341455026
oct261660131041460
947240402354786
1012221352788784
113992057048287
1214546b63a3180
136a8612745209
143037338c8716
15162d8ac7c0a9
hexb1d81644330

12221352788784 has 40 divisors (see below), whose sum is σ = 31780913010432. Its totient is φ = 4046805556800.

The previous prime is 12221352788783. The next prime is 12221352788851. The reversal of 12221352788784 is 48788725312221.

It is a super-3 number, since 3×122213527887843 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12221352788783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843077244 + ... + 843091739.

Almost surely, 212221352788784 is an apocalyptic number.

It is an amenable number.

12221352788784 is an abundant number, since it is smaller than the sum of its proper divisors (19559560221648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221352788784 is a wasteful number, since it uses less digits than its factorization.

12221352788784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686169145 (or 1686169139 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 60.

The spelling of 12221352788784 in words is "twelve trillion, two hundred twenty-one billion, three hundred fifty-two million, seven hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 1686168983 3372337966 5058506949 6744675932 10117013898 13489351864 20234027796 26978703728 40468055592 80936111184 254611516433 509223032866 763834549299 1018446065732 1527669098598 2036892131464 3055338197196 4073784262928 6110676394392 12221352788784