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11212221120212 = 22721727671216123
BaseRepresentation
bin1010001100101000110001…
…1101001111111011010100
31110200212200222010121001202
42203022030131033323110
52432200112101321322
635502453454412032
72235025202014400
oct243121435177324
943625628117052
1011212221120212
11363309257a662
121311006201018
136344006482b8
142aa962794100
151469c79cb292
hexa328c74fed4

11212221120212 has 72 divisors (see below), whose sum is σ = 24176272708224. Its totient is φ = 4520938399488.

The previous prime is 11212221120187. The next prime is 11212221120227. The reversal of 11212221120212 is 21202112221211.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8611583 + ... + 9827705.

It is an arithmetic number, because the mean of its divisors is an integer number (335781565392).

Almost surely, 211212221120212 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 11212221120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088136354112).

11212221120212 is an abundant number, since it is smaller than the sum of its proper divisors (12964051588012).

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

11212221120212 is a wasteful number, since it uses less digits than its factorization.

11212221120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218925 (or 1218916 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11212221120212 its reverse (21202112221211), we get a palindrome (32414333341423).

The spelling of 11212221120212 in words is "eleven trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 2767 3332 5534 11068 19369 38738 47039 77476 94078 135583 188156 271166 329273 542332 658546 1216123 1317092 2304911 2432246 4609822 4864492 8512861 9219644 17025722 20674091 34051444 41348182 59590027 82696364 119180054 144718637 238360108 289437274 578874548 1013030459 2026060918 3365012341 4052121836 6730024682 13460049364 23555086387 47110172774 57205209797 94220345548 114410419594 164885604709 228820839188 329771209418 400436468579 659542418836 800872937158 1601745874316 2803055280053 5606110560106 11212221120212