Search a number
-
+
120112222000 = 24531571792137
BaseRepresentation
bin110111111011100111…
…1110000111100110000
3102111000211100002010211
41233313033300330300
53431442212101000
6131102341433504
711451331020151
oct1576717607460
9374024302124
10120112222000
1146a37244181
121b34140b894
13b432519c14
145b561d9928
1531cec717ba
hex1bf73f0f30

120112222000 has 160 divisors (see below), whose sum is σ = 294051625920. Its totient is φ = 47449958400.

The previous prime is 120112221997. The next prime is 120112222001. The reversal of 120112222000 is 222211021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120112222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56204932 + ... + 56207068.

It is an arithmetic number, because the mean of its divisors is an integer number (1837822662).

Almost surely, 2120112222000 is an apocalyptic number.

120112222000 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 120112222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147025812960).

120112222000 is an abundant number, since it is smaller than the sum of its proper divisors (173939403920).

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

120112222000 is a wasteful number, since it uses less digits than its factorization.

120112222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120112222000 its reverse (222211021), we get a palindrome (120334433021).

The spelling of 120112222000 in words is "one hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 179 200 250 314 358 400 500 628 716 785 895 1000 1256 1432 1570 1790 2000 2137 2512 2864 3140 3580 3925 4274 4475 6280 7160 7850 8548 8950 10685 12560 14320 15700 17096 17900 19625 21370 22375 28103 31400 34192 35800 39250 42740 44750 53425 56206 62800 71600 78500 85480 89500 106850 112412 140515 157000 170960 179000 213700 224824 267125 281030 314000 335509 358000 382523 427400 449648 534250 562060 671018 702575 765046 854800 1068500 1124120 1342036 1405150 1530092 1677545 1912615 2137000 2248240 2684072 2810300 3060184 3355090 3512875 3825230 4274000 5368144 5620600 6120368 6710180 7025750 7650460 8387725 9563075 11241200 13420360 14051500 15300920 16775450 19126150 26840720 28103000 30601840 33550900 38252300 41938625 47815375 56206000 60056111 67101800 76504600 83877250 95630750 120112222 134203600 153009200 167754500 191261500 240224444 300280555 335509000 382523000 480448888 600561110 671018000 765046000 960897776 1201122220 1501402775 2402244440 3002805550 4804488880 6005611100 7507013875 12011222200 15014027750 24022444400 30028055500 60056111000 120112222000