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212201222112 = 253211224329863
BaseRepresentation
bin1100010110100000101…
…1011010111111100000
3202021201200000222200200
43011220023122333200
511434042003101422
6241252304345200
721221354425065
oct3055013327740
9667650028620
10212201222112
1181aa306aa40
1235161915200
131701a078329
14a3b071cc6c
1557be6e12ac
hex31682dafe0

212201222112 has 144 divisors (see below), whose sum is σ = 658621611648. Its totient is φ = 64272579840.

The previous prime is 212201222111. The next prime is 212201222119. The reversal of 212201222112 is 211222102212.

It is a happy number.

212201222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (212201222111) by changing a digit.

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, 7090893 + ... + 7120755.

It is an arithmetic number, because the mean of its divisors is an integer number (4573761192).

Almost surely, 2212201222112 is an apocalyptic number.

212201222112 is a gapful number since it is divisible by the number (22) 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 212201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329310805824).

212201222112 is an abundant number, since it is smaller than the sum of its proper divisors (446420389536).

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

212201222112 is a wasteful number, since it uses less digits than its factorization.

212201222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32133 (or 32122 counting only the distinct ones).

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

Adding to 212201222112 its reverse (211222102212), we get a palindrome (423423324324).

The spelling of 212201222112 in words is "two hundred twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2243 3168 4486 6729 8972 13458 17944 20187 24673 26916 29863 35888 40374 49346 53832 59726 71776 74019 80748 89589 98692 107664 119452 148038 161496 179178 197384 215328 222057 238904 268767 296076 322992 328493 358356 394768 444114 477808 537534 592152 645984 656986 716712 789536 888228 955616 985479 1075068 1184304 1313972 1433424 1776456 1970958 2150136 2368608 2627944 2866848 2956437 3552912 3941916 4300272 5255888 5912874 7105824 7883832 8600544 10511776 11825748 15767664 23651496 31535328 47302992 66982709 94605984 133965418 200948127 267930836 401896254 535861672 602844381 736809799 803792508 1071723344 1205688762 1473619598 1607585016 2143446688 2210429397 2411377524 2947239196 3215170032 4420858794 4822755048 5894478392 6430340064 6631288191 8841717588 9645510096 11788956784 13262576382 17683435176 19291020192 23577913568 26525152764 35366870352 53050305528 70733740704 106100611056 212201222112