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12202211120 = 2451122634793
BaseRepresentation
bin10110101110100111…
…01111011100110000
31011111101121112212012
423113103233130300
5144442231223440
65334451422052
7611245040351
oct132723573460
934441545765
1012202211120
1151a1914900
1224465b4928
1311c6014388
1483a817d28
154b63b4e65
hex2d74ef730

12202211120 has 120 divisors (see below), whose sum is σ = 31308808608. Its totient is φ = 4419374080.

The previous prime is 12202211081. The next prime is 12202211191. The reversal of 12202211120 is 2111220221.

It is a junction number, because it is equal to n+sod(n) for n = 12202211095 and 12202211104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2543444 + ... + 2548236.

Almost surely, 212202211120 is an apocalyptic number.

12202211120 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 12202211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654404304).

12202211120 is an abundant number, since it is smaller than the sum of its proper divisors (19106597488).

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

12202211120 is a wasteful number, since it uses less digits than its factorization.

12202211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5074 counting only the distinct ones).

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

Adding to 12202211120 its reverse (2111220221), we get a palindrome (14313431341).

It can be divided in two parts, 12202 and 211120, that added together give a palindrome (223322).

The spelling of 12202211120 in words is "twelve billion, two hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 263 440 484 526 605 880 968 1052 1210 1315 1936 2104 2420 2630 2893 4208 4793 4840 5260 5786 9586 9680 10520 11572 14465 19172 21040 23144 23965 28930 31823 38344 46288 47930 52723 57860 63646 76688 95860 105446 115720 127292 159115 191720 210892 231440 254584 263615 318230 383440 421784 509168 527230 579953 636460 843568 1054460 1159906 1260559 1272920 2108920 2319812 2521118 2545840 2899765 4217840 4639624 5042236 5799530 6302795 9279248 10084472 11599060 12605590 13866149 20168944 23198120 25211180 27732298 46396240 50422360 55464596 69330745 100844720 110929192 138661490 152527639 221858384 277322980 305055278 554645960 610110556 762638195 1109291920 1220221112 1525276390 2440442224 3050552780 6101105560 12202211120