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12201131220213 = 313173717919913963
BaseRepresentation
bin1011000110001100110000…
…0101111001110011110101
31121012102020210221201200210
42301203030011321303311
53044400404043021323
641541042230100033
72366334256122435
oct261431405716365
947172223851623
1012201131220213
11398451a544541
1214507b21aa619
136a673c1a0c20
143027760082c5
151625a5846293
hexb18cc179cf5

12201131220213 has 128 divisors (see below), whose sum is σ = 19255574016000. Its totient is φ = 6802468687872.

The previous prime is 12201131220211. The next prime is 12201131220319. The reversal of 12201131220213 is 31202213110221.

It is not a de Polignac number, because 12201131220213 - 21 = 12201131220211 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12201131220213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201131220211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 873811770 + ... + 873825732.

It is an arithmetic number, because the mean of its divisors is an integer number (150434172000).

Almost surely, 212201131220213 is an apocalyptic number.

12201131220213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12201131220213 is a deficient number, since it is larger than the sum of its proper divisors (7054442795787).

12201131220213 is a wasteful number, since it uses less digits than its factorization.

12201131220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12201131220213 its reverse (31202213110221), we get a palindrome (43403344330434).

The spelling of 12201131220213 in words is "twelve trillion, two hundred one billion, one hundred thirty-one million, two hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 13 17 37 39 51 111 179 199 221 481 537 597 629 663 1443 1887 2327 2587 3043 3383 6623 6981 7363 7761 8177 9129 10149 13963 19869 22089 24531 35621 39559 41889 43979 86099 95719 106863 112591 118677 125171 131937 181519 237371 258297 287157 337773 375513 463073 516631 544557 605557 712113 1317977 1389219 1463683 1549893 1627223 1816671 2499377 2778637 3085823 3953931 4391049 4881669 6716203 7498131 7872241 8335911 8782727 9257469 17133701 20148609 22405609 23616723 26348181 32491901 36122281 42489409 47236829 51401103 67216827 92476949 97475703 102809569 108366843 114175451 127468227 141710487 277430847 291272917 308428707 342526353 497376023 552362317 614078777 873818751 1202200337 1336524397 1492128069 1572108133 1657086951 1747762673 1842236331 3606601011 4009573191 4716324399 5243288019 6465888299 8455392391 18402912851 19397664897 20437405729 22720914749 25366177173 55208738553 61312217187 68162744247 109920101083 239237867063 312849518467 329760303249 717713601189 938548555401 4067043740071 12201131220213