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221212321121112 = 233163967170934217
BaseRepresentation
bin110010010011000100000001…
…110100100000001101011000
31002000020200200000011110220120
4302103010001310200031120
5212443320313201333422
62102251312024353240
764411030352004366
oct6223040164401530
91060220600143816
10221212321121112
11645376893090a2
122098851a915820
1396583036a6709
143c8aa3a8d8636
151a8939066345c
hexc93101d20358

221212321121112 has 128 divisors (see below), whose sum is σ = 557341251033600. Its totient is φ = 73164301636608.

The previous prime is 221212321121101. The next prime is 221212321121119. The reversal of 221212321121112 is 211121123212122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212321121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6464965828 + ... + 6465000044.

It is an arithmetic number, because the mean of its divisors is an integer number (4354228523700).

Almost surely, 2221212321121112 is an apocalyptic number.

It is an amenable number.

221212321121112 is an abundant number, since it is smaller than the sum of its proper divisors (336128929912488).

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

221212321121112 is a wasteful number, since it uses less digits than its factorization.

221212321121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37065 (or 37061 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 221212321121112 its reverse (211121123212122), we get a palindrome (432333444333234).

The spelling of 221212321121112 in words is "two hundred twenty-one trillion, two hundred twelve billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 163 326 489 652 967 978 1304 1709 1934 1956 2901 3418 3868 3912 5127 5802 6836 7736 10254 11604 13672 20508 23208 34217 41016 68434 102651 136868 157621 205302 273736 278567 315242 410604 472863 557134 630484 821208 835701 945726 1114268 1260968 1652603 1671402 1891452 2228536 3305206 3342804 3782904 4957809 5577371 6610412 6685608 9915618 11154742 13220824 16732113 19831236 22309484 33087839 33464226 39662472 44618968 58476853 66175678 66928452 99263517 116953706 132351356 133856904 175430559 198527034 233907412 264702712 269374289 350861118 397054068 467814824 538748578 701722236 794108136 808122867 1077497156 1403444472 1616245734 2154994312 3232491468 5393317757 6464982936 9531727039 10786635514 16179953271 19063454078 21573271028 28595181117 32359906542 38126908156 43146542056 56547116851 57190362234 64719813084 76253816312 113094233702 114380724468 129439626168 169641350553 226188467404 228761448936 339282701106 452376934808 678565402212 1357130804424 9217180046713 18434360093426 27651540140139 36868720186852 55303080280278 73737440373704 110606160560556 221212321121112