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12221325767427 = 3717297116626229
BaseRepresentation
bin1011000111010111111111…
…0001111111001100000011
31121021100101012120000112220
42301311333301333030003
53100213233344024202
641554222145222123
72400650563003410
oct261657761771403
947240335500486
1012221325767427
113992042871787
1214546a9331943
136a8609c73c4a
14303730093107
15162d886e0abc
hexb1d7fc7f303

12221325767427 has 64 divisors (see below), whose sum is σ = 20685690316800. Its totient is φ = 6256782120960.

The previous prime is 12221325767407. The next prime is 12221325767479. The reversal of 12221325767427 is 72476752312221.

It is not a de Polignac number, because 12221325767427 - 218 = 12221325505283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12221325767427.

It is not an unprimeable number, because it can be changed into a prime (12221325767407) 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, 7578052 + ... + 9048177.

It is an arithmetic number, because the mean of its divisors is an integer number (323213911200).

Almost surely, 212221325767427 is an apocalyptic number.

12221325767427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12221325767427 is a deficient number, since it is larger than the sum of its proper divisors (8464364549373).

12221325767427 is a wasteful number, since it uses less digits than its factorization.

12221325767427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16626356.

The product of its digits is 3951360, while the sum is 51.

The spelling of 12221325767427 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-five million, seven hundred sixty-seven thousand, four hundred twenty-seven".

Divisors: 1 3 7 17 21 29 51 71 87 119 203 213 357 493 497 609 1207 1479 1491 2059 3451 3621 6177 8449 10353 14413 25347 35003 43239 105009 245021 735063 16626229 49878687 116383603 282645893 349150809 482160641 847937679 1180462259 1446481923 1978521251 3375124487 3541386777 5935563753 8196730897 8263235813 10125373461 20067858403 24590192691 24789707439 34233405511 57377116279 60203575209 102700216533 140475008821 172131348837 239633838577 421425026463 581967893687 718901515731 1745903681061 4073775255809 12221325767427