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12220202021112 = 23334110939126143
BaseRepresentation
bin1011000111010011110011…
…0011001111000011111000
31121021020110220000210102000
42301310330303033003320
53100203433204133422
641553514443341000
72400610666216161
oct261647463170370
947236426023360
1012220202021112
113991616508518
121454434b21760
136a848b1ca8b7
14303664b32768
15162d1ec18cac
hexb1d3cccf0f8

12220202021112 has 128 divisors (see below), whose sum is σ = 34776387072000. Its totient is φ = 3973654644480.

The previous prime is 12220202021101. The next prime is 12220202021117. The reversal of 12220202021112 is 21112020202221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220202021117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96812713 + ... + 96938855.

It is an arithmetic number, because the mean of its divisors is an integer number (271690524000).

Almost surely, 212220202021112 is an apocalyptic number.

12220202021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220202021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388193536000).

12220202021112 is an abundant number, since it is smaller than the sum of its proper divisors (22556185050888).

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

12220202021112 is a wasteful number, since it uses less digits than its factorization.

12220202021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137138 (or 137128 counting only the distinct ones).

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

Adding to 12220202021112 its reverse (21112020202221), we get a palindrome (33332222223333).

The spelling of 12220202021112 in words is "twelve trillion, two hundred twenty billion, two hundred two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 10939 21878 32817 43756 65634 87512 98451 126143 131268 196902 252286 262536 295353 378429 393804 448499 504572 590706 756858 787608 896998 1009144 1135287 1181412 1345497 1513716 1793996 2270574 2362824 2690994 3027432 3405861 3587992 4036491 4541148 5171863 5381988 6811722 8072982 9082296 10343726 10763976 12109473 13623444 15515589 16145964 20687452 24218946 27246888 31031178 32291928 41374904 46546767 48437892 62062356 93093534 96875784 124124712 139640301 186187068 279280602 372374136 558561204 1117122408 1379878277 2759756554 4139634831 5519513108 8279269662 11039026216 12418904493 16558539324 24837808986 33117078648 37256713479 49675617972 56575009357 74513426958 99351235944 113150018714 149026853916 169725028071 226300037428 298053707832 339450056142 452600074856 509175084213 678900112284 1018350168426 1357800224568 1527525252639 2036700336852 3055050505278 4073400673704 6110101010556 12220202021112