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12422255222421 = 3211237210218161
BaseRepresentation
bin1011010011000100100000…
…0111000001111010010101
31121222120000022202220121100
42310301020013001322111
53112011234314104141
642230412200540313
72421323031124632
oct264611007017225
947876008686540
1012422255222421
113a5a281253200
121487624181699
136c154ba00695
1430d35179b189
151681e855e0b6
hexb4c481c1e95

12422255222421 has 108 divisors (see below), whose sum is σ = 20292547767492. Its totient is φ = 7317091584000.

The previous prime is 12422255222387. The next prime is 12422255222449.

12422255222421 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 2 + 2 + 5 + 5 + 222 + 421 = 666.

12422255222421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 2162117331396 + 10260137891025 = 1470414^2 + 3203145^2 .

It is not a de Polignac number, because 12422255222421 - 217 = 12422255091349 is a prime.

It is a super-2 number, since 2×124222552224212 (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 (12422255222471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1522144581 + ... + 1522152741.

Almost surely, 212422255222421 is an apocalyptic number.

12422255222421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12422255222421 is a deficient number, since it is larger than the sum of its proper divisors (7870292545071).

12422255222421 is a wasteful number, since it uses less digits than its factorization.

12422255222421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9233 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 1242225 and 5222421, that added together give a palindrome (6464646).

The spelling of 12422255222421 in words is "twelve trillion, four hundred twenty-two billion, two hundred fifty-five million, two hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1021 1089 1221 1369 3063 3663 4107 4477 8161 9189 11231 12321 13431 15059 24483 33693 37777 40293 45177 73449 89771 101079 113331 123541 135531 165649 269313 301957 339993 370623 415547 496947 807939 905871 987481 1111869 1246641 1397749 1490841 2717613 2962443 3321527 3739923 4193247 4571017 8332381 8887329 9964581 11172409 12579741 13713051 15375239 24997143 29893743 33517227 36536797 41139153 46125717 74991429 91656191 100551681 109610391 122896499 138377151 169127629 274968573 308298097 328831173 368689497 507382887 824905719 924894291 1008218101 1106068491 1351861489 1522148661 2774682873 3024654303 3391279067 4055584467 9073962909 10173837201 11407029589 12166753401 30521511603 34221088767 37304069737 102663266301 111912209211 125477325479 335736627633 376431976437 1129295929311 1380250580269 4140751740807 12422255222421