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2212101202212 = 22331111399163351
BaseRepresentation
bin100000001100001011100…
…000011010000100100100
321211110211010200022011000
4200030023200122010210
5242220340401432322
64412120353513300
7315550633656006
oct40141340320444
97743733608130
102212101202212
11783168506350
122b8878272830
131307a598cb15
14790cdbb4376
153c81da133ac
hex2030b81a124

2212101202212 has 96 divisors (see below), whose sum is σ = 6257035008000. Its totient is φ = 670270788000.

The previous prime is 2212101202183. The next prime is 2212101202237. The reversal of 2212101202212 is 2122021012122.

It is a happy number.

2212101202212 is a `hidden beast` number, since 221 + 210 + 1 + 20 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13460337 + ... + 13623687.

It is an arithmetic number, because the mean of its divisors is an integer number (65177448000).

Almost surely, 22212101202212 is an apocalyptic number.

2212101202212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212101202212 is an abundant number, since it is smaller than the sum of its proper divisors (4044933805788).

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

2212101202212 is a wasteful number, since it uses less digits than its factorization.

2212101202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174774 (or 174766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212101202212 its reverse (2122021012122), we get a palindrome (4334122214334).

The spelling of 2212101202212 in words is "two trillion, two hundred twelve billion, one hundred one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 11399 22798 34197 45596 68394 102591 125389 136788 163351 205182 250778 307773 326702 376167 410364 490053 501556 615546 653404 752334 980106 1128501 1231092 1470159 1504668 1796861 1960212 2257002 2940318 3385503 3593722 4410477 4514004 5390583 5880636 6771006 7187444 8820954 10781166 13542012 16171749 17641908 21562332 32343498 48515247 64686996 97030494 194060988 1862038049 3724076098 5586114147 7448152196 11172228294 16758342441 20482418539 22344456588 33516684882 40964837078 50275027323 61447255617 67033369764 81929674156 100550054646 122894511234 184341766851 201100109292 245789022468 368683533702 553025300553 737367067404 1106050601106 2212101202212