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12212111021100 = 22352167243754711
BaseRepresentation
bin1011000110110101101010…
…0010100001010000101100
31121020110121000101101221220
42301231122202201100230
53100040400410133400
641550055533223340
72400203331646644
oct261553242412054
947213530341856
1012212111021100
113989144336451
121452957331b50
136a779bb75623
143030d833b524
151629e97457a0
hexb1b5a8a142c

12212111021100 has 72 divisors (see below), whose sum is σ = 35545287122688. Its totient is φ = 3237062548800.

The previous prime is 12212111021039. The next prime is 12212111021171. The reversal of 12212111021100 is 112011121221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212111021100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 121827256 + ... + 121927455.

Almost surely, 212212111021100 is an apocalyptic number.

12212111021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212111021100 is an abundant number, since it is smaller than the sum of its proper divisors (23333176101588).

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

12212111021100 is a wasteful number, since it uses less digits than its factorization.

12212111021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243754895 (or 243754888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212111021100 its reverse (112011121221), we get a palindrome (12324122142321).

The spelling of 12212111021100 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 25050 50100 243754711 487509422 731264133 975018844 1218773555 1462528266 2437547110 2925056532 3656320665 4875094220 6093867775 7312641330 12187735550 14625282660 18281603325 24375471100 36563206650 40707036737 73126413300 81414073474 122121110211 162828146948 203535183685 244242220422 407070367370 488484440844 610605551055 814140734740 1017675918425 1221211102110 2035351836850 2442422204220 3053027755275 4070703673700 6106055510550 12212111021100