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12121210112022 = 2321131992542391
BaseRepresentation
bin1011000001100011000001…
…1011000100100000010110
31120220202221222021202220200
42300120300123010200112
53042043214242041042
641440223531241330
72360504612660214
oct260306033044026
946822858252820
1012121210112022
113953638122000
1214392088a9246
1369c0434cbc6b
142dc953927cb4
1516047925cc4c
hexb06306c4816

12121210112022 has 96 divisors (see below), whose sum is σ = 29032082726400. Its totient is φ = 3654634777200.

The previous prime is 12121210112021. The next prime is 12121210112083. The reversal of 12121210112022 is 22021101212121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12121210111986 and 12121210112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121210112021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496447 + ... + 6038837.

It is an arithmetic number, because the mean of its divisors is an integer number (302417528400).

Almost surely, 212121210112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121210112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516041363200).

12121210112022 is an abundant number, since it is smaller than the sum of its proper divisors (16910872614378).

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

12121210112022 is a wasteful number, since it uses less digits than its factorization.

12121210112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542631 (or 2542606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121210112022 its reverse (22021101212121), we get a palindrome (34142311324143).

The spelling of 12121210112022 in words is "twelve trillion, one hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 199 242 363 398 597 726 1089 1194 1331 1791 2178 2189 2662 3582 3993 4378 6567 7986 11979 13134 19701 23958 24079 39402 48158 72237 144474 216711 264869 433422 529738 794607 1589214 2383821 2542391 4767642 5084782 7627173 15254346 22881519 27966301 45763038 55932602 83898903 167797806 251696709 307629311 503393418 505935809 615258622 922887933 1011871618 1517807427 1845775866 2768663799 3035614854 3383922421 4553422281 5537327598 5565293899 6767844842 9106844562 10151767263 11130587798 16695881697 20303534526 30455301789 33391763394 50087645091 60910603578 61218232889 100175290182 122436465778 183654698667 367309397334 550964096001 673400561779 1101928192002 1346801123558 2020201685337 4040403370674 6060605056011 12121210112022