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1212221011120 = 2457109129115383
BaseRepresentation
bin10001101000111110000…
…000001011010010110000
311021212221202200210120221
4101220332000023102300
5124330112034323440
62324515303142424
7153402652404040
oct21507600132260
94255852623527
101212221011120
11428111181689
12176b2a444a14
138a409482232
1442959637720
15217eca65d4a
hex11a3e00b4b0

1212221011120 has 160 divisors (see below), whose sum is σ = 3253324631040. Its totient is φ = 411459886080.

The previous prime is 1212221011061. The next prime is 1212221011121. The reversal of 1212221011120 is 211101222121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1212221011094 and 1212221011103.

It is not an unprimeable number, because it can be changed into a prime (1212221011121) 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, 78794949 + ... + 78810331.

It is an arithmetic number, because the mean of its divisors is an integer number (20333278944).

Almost surely, 21212221011120 is an apocalyptic number.

1212221011120 is a gapful number since it is divisible by the number (10) 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 1212221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626662315520).

1212221011120 is an abundant number, since it is smaller than the sum of its proper divisors (2041103619920).

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

1212221011120 is a wasteful number, since it uses less digits than its factorization.

1212221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16803 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1212221011120 its reverse (211101222121), we get a palindrome (1423322233241).

The spelling of 1212221011120 in words is "one trillion, two hundred twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1291 1526 1744 2180 2582 3052 3815 4360 5164 6104 6455 7630 8720 9037 10328 12208 12910 15260 15383 18074 20656 25820 30520 30766 36148 45185 51640 61040 61532 72296 76915 90370 103280 107681 123064 140719 144592 153830 180740 215362 246128 281438 307660 361480 430724 538405 562876 615320 703595 722960 861448 985033 1076810 1125752 1230640 1407190 1676747 1722896 1970066 2153620 2251504 2814380 3353494 3940132 4307240 4925165 5628760 6706988 7880264 8383735 8614480 9850330 11257520 11737229 13413976 15760528 16767470 19700660 19859453 23474458 26827952 33534940 39401320 39718906 46948916 58686145 67069880 78802640 79437812 93897832 99297265 117372290 134139760 139016171 158875624 187795664 198594530 234744580 278032342 317751248 397189060 469489160 556064684 695080855 794378120 938978320 1112129368 1390161710 1588756240 2164680377 2224258736 2780323420 4329360754 5560646840 8658721508 10823401885 11121293680 15152762639 17317443016 21646803770 30305525278 34634886032 43293607540 60611050556 75763813195 86587215080 121222101112 151527626390 173174430160 242444202224 303055252780 606110505560 1212221011120