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12213312223221 = 3241594798531373
BaseRepresentation
bin1011000110111010001000…
…1000101111011111110101
31121020120200201122210111100
42301232202020233133311
53100100330412120341
641550415043200313
72400245156002644
oct261564210573765
947216621583440
1012213312223221
11398970039337a
121453031676099
136a793099b005
143031adaa135b
15162a69e1c3b6
hexb1ba222f7f5

12213312223221 has 96 divisors (see below), whose sum is σ = 18451417420800. Its totient is φ = 7777872829440.

The previous prime is 12213312223199. The next prime is 12213312223247. The reversal of 12213312223221 is 12232221331221.

12213312223221 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 312 + 22 + 322 + 1 = 666.

It is not a de Polignac number, because 12213312223221 - 237 = 12075873269749 is a prime.

It is a super-2 number, since 2×122133122232212 (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 (12213312223271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8895346891 + ... + 8895348263.

It is an arithmetic number, because the mean of its divisors is an integer number (192202264800).

Almost surely, 212213312223221 is an apocalyptic number.

It is an amenable number.

12213312223221 is a deficient number, since it is larger than the sum of its proper divisors (6238105197579).

12213312223221 is a wasteful number, since it uses less digits than its factorization.

12213312223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2808 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12213312223221 its reverse (12232221331221), we get a palindrome (24445533554442).

The spelling of 12213312223221 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 41 59 123 177 369 479 531 853 1373 1437 2419 2559 4119 4311 7257 7677 12357 19639 21771 28261 34973 50327 56293 58917 81007 84783 104919 150981 168879 176751 243021 254349 314757 408587 452943 506637 657667 729063 1158701 1171169 1225761 1973001 2063407 3321287 3476103 3513507 3677283 5919003 6190221 9963861 10428309 10540521 16752067 18570663 24106633 26964347 29891583 38802353 48017929 50256201 69098971 72319899 80893041 116407059 144053787 150768603 207296913 216959697 242679123 349221177 432161361 560989951 621890739 988371953 1590896473 1682969853 2833057811 2965115859 4772689419 5048909559 8499173433 8895347577 14318068257 23000587991 25497520299 33098407109 69001763973 99295221327 207005291919 297885663981 1357034691469 4071104074407 12213312223221