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12202120112 = 24713191972239
BaseRepresentation
bin10110101110100110…
…11001001110110000
31011111101102221000112
423113103121032300
5144442220320422
65334445440452
7611244211130
oct132723311660
934441387015
1012202120112
1151a1862496
122446570128
1311c5cb1b20
1483a7d2ac0
154b6397ee2
hex2d74d93b0

12202120112 has 160 divisors (see below), whose sum is σ = 30798028800. Its totient is φ = 4547902464.

The previous prime is 12202120111. The next prime is 12202120123. The reversal of 12202120112 is 21102120221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12202120111) 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, 5448689 + ... + 5450927.

It is an arithmetic number, because the mean of its divisors is an integer number (192487680).

Almost surely, 212202120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399014400).

12202120112 is an abundant number, since it is smaller than the sum of its proper divisors (18595908688).

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

12202120112 is a wasteful number, since it uses less digits than its factorization.

12202120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202120112 its reverse (21102120221), we get a palindrome (33304240333).

The spelling of 12202120112 in words is "twelve billion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 197 208 247 266 304 364 394 494 532 728 788 988 1064 1379 1456 1576 1729 1976 2128 2239 2561 2758 3152 3458 3743 3952 4478 5122 5516 6916 7486 8956 10244 11032 13832 14972 15673 17912 17927 20488 22064 26201 27664 29107 29944 31346 35824 35854 40976 42541 48659 52402 58214 59888 62692 71708 85082 97318 104804 116428 125384 143416 170164 194636 203749 209608 232856 250768 286832 297787 340328 340613 389272 407498 419216 441083 465712 553033 595574 680656 681226 778544 814996 882166 1106066 1191148 1362452 1629992 1764332 2212132 2382296 2724904 3087581 3259984 3528664 3871231 4424264 4764592 5449808 5734079 6175162 7057328 7742462 8380577 8848528 11468158 12350324 15484924 16761154 22936316 24700648 30969848 33522308 40138553 45872632 49401296 58664039 61939696 67044616 80277106 91745264 108947501 117328078 134089232 160554212 217895002 234656156 321108424 435790004 469312312 642216848 762632507 871580008 938624624 1525265014 1743160016 3050530028 6101060056 12202120112