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12204111140221 = 71113193172024227
BaseRepresentation
bin1011000110010111110110…
…1101011001010101111101
31121012200221111012100110111
42301211331231121111331
53044423004422441341
641542254040110021
72366501152044040
oct261457555312575
947180844170414
1012204111140221
11398580963a550
1214512a4165311
136a6ac56747c0
14302979aa4c57
151626cc270681
hexb197db5957d

12204111140221 has 64 divisors (see below), whose sum is σ = 17302777067520. Its totient is φ = 8289934191360.

The previous prime is 12204111140203. The next prime is 12204111140227.

12204111140221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12204111140221 - 25 = 12204111140189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12204111140192 and 12204111140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204111140227) 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, 5016910 + ... + 7041136.

It is an arithmetic number, because the mean of its divisors is an integer number (270355891680).

Almost surely, 212204111140221 is an apocalyptic number.

12204111140221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12204111140221 is a deficient number, since it is larger than the sum of its proper divisors (5098665927299).

12204111140221 is a wasteful number, since it uses less digits than its factorization.

12204111140221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024594.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1220411 and 1140221, that added together give a palindrome (2360632).

The spelling of 12204111140221 in words is "twelve trillion, two hundred four billion, one hundred eleven million, one hundred forty thousand, two hundred twenty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 317 1001 1463 1729 2219 2717 3487 4121 6023 19019 24409 28847 42161 45331 66253 78299 317317 463771 548093 861289 2024227 6029023 14169589 22266497 26314951 38460313 155865479 184204657 269222191 289464461 423063443 499984069 641679959 2026251227 2961444101 3499888483 4491759713 5499824759 7058479549 8341839467 12191919221 38498773313 49409356843 58392876269 85343434547 91760234137 134111111431 158494949873 642321638959 938777780017 1109464649111 1743444448603 12204111140221