Search a number
-
+
12212010120212 = 22719521172125601
BaseRepresentation
bin1011000110110101010010…
…0001100111010000010100
31121020110022222112002221222
42301231110201213100110
53100040144042321322
641550041530425512
72400200665213160
oct261552441472024
947213288462858
1012212010120212
1139890a238a091
121452929592298
136a7783ca7a66
143030c8b93ca0
151629e0963e42
hexb1b54867414

12212010120212 has 96 divisors (see below), whose sum is σ = 25774815548160. Its totient is φ = 4945674240000.

The previous prime is 12212010120203. The next prime is 12212010120217. The reversal of 12212010120212 is 21202101021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212010120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477000212 + ... + 477025812.

It is an arithmetic number, because the mean of its divisors is an integer number (268487661960).

Almost surely, 212212010120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212010120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887407774080).

12212010120212 is an abundant number, since it is smaller than the sum of its proper divisors (13562805427948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12212010120212 is a wasteful number, since it uses less digits than its factorization.

12212010120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27873 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12212010120212 its reverse (21202101021221), we get a palindrome (33414111141433).

The spelling of 12212010120212 in words is "twelve trillion, two hundred twelve billion, ten million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 521 532 1042 1721 2084 3442 3647 6884 7294 9899 12047 14588 19798 24094 25601 32699 39596 48188 51202 65398 69293 102404 130796 138586 179207 228893 277172 358414 457786 486419 716828 896641 915572 972838 1793282 1945676 3404933 3586564 6276487 6809866 12552974 13338121 13619732 17036179 25105948 26676242 34072358 44059321 53352484 68144716 88118642 93366847 119253253 176237284 186733694 238506506 253424299 308415247 373467388 477013012 506848598 616830494 837127099 1013697196 1233660988 1674254198 1773970093 3348508396 3547940186 5859889693 7095880372 11719779386 22954906241 23439558772 45909812482 91819624964 160684343687 321368687374 436143218579 642737374748 872286437158 1744572874316 3053002530053 6106005060106 12212010120212