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12223422432221 = 7113132329151303
BaseRepresentation
bin1011000111011111110011…
…0000001000001111011101
31121021112210022210121221112
42301313330300020033131
53100232032120312341
641555210204111405
72401053542236640
oct261677460101735
947245708717845
1012223422432221
113992a19332000
121454b93535565
136a88824649c0
1430388c711a57
15162e5c7e9aeb
hexb1dfcc083dd

12223422432221 has 128 divisors (see below), whose sum is σ = 17862490275840. Its totient is φ = 8119761027840.

The previous prime is 12223422432197. The next prime is 12223422432227.

12223422432221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12223422432221 - 222 = 12223418237917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223422432227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80712056 + ... + 80863358.

It is an arithmetic number, because the mean of its divisors is an integer number (139550705280).

Almost surely, 212223422432221 is an apocalyptic number.

12223422432221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12223422432221 is a deficient number, since it is larger than the sum of its proper divisors (5639067843619).

12223422432221 is a wasteful number, since it uses less digits than its factorization.

12223422432221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151408 (or 151386 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 1222342 and 2432221, that added together give a palindrome (3654563).

The spelling of 12223422432221 in words is "twelve trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 23 29 77 91 121 143 161 203 253 299 319 377 667 847 1001 1331 1573 1771 2093 2233 2639 2783 3289 3509 4147 4669 7337 8671 9317 11011 17303 19481 23023 24563 29029 30613 36179 38599 45617 51359 60697 80707 95381 121121 151303 214291 253253 270193 319319 397969 501787 564949 667667 887777 1049191 1059121 1664333 1966939 2785783 3479969 3512509 4387787 6214439 7344337 11541101 11650331 13768573 18307663 21636329 24359783 30714509 38279659 45239597 48265657 57041231 80787707 100919101 128153641 151454303 201384293 237999619 267957613 316677179 337859599 399288617 421076249 497635567 530922227 627453541 706433707 1110110111 1311948313 1409690051 1665997333 2617995809 2947533743 3483448969 3716455589 4392174787 4631838739 5473991237 5840144497 6901988951 7770770777 9183638191 12211211221 14431431443 18325970663 32422871173 38317938659 40881011479 48313922657 60213903607 75921878461 85478478547 101020020101 134323323431 158745745873 421497325249 531453149227 940263264017 1111220221111 1746203204603 12223422432221