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12214401120 = 2532543197261
BaseRepresentation
bin10110110000000100…
…01111100001100000
31011112020112212101200
423120002033201200
5200003341313440
65340005001200
7611453460615
oct133002174140
934466485350
1012214401120
1151a8790389
12244a6b3200
1311c86c19ac
1483c2ac50c
154b74c1c30
hex2d808f860

12214401120 has 144 divisors (see below), whose sum is σ = 42651200592. Its totient is φ = 3181409280.

The previous prime is 12214401107. The next prime is 12214401139. The reversal of 12214401120 is 2110441221.

12214401120 is a `hidden beast` number, since 1 + 221 + 440 + 1 + 1 + 2 + 0 = 666.

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 junction number, because it is equal to n+sod(n) for n = 12214401093 and 12214401102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36711 + ... + 160550.

It is an arithmetic number, because the mean of its divisors is an integer number (296188893).

Almost surely, 212214401120 is an apocalyptic number.

12214401120 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 12214401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325600296).

12214401120 is an abundant number, since it is smaller than the sum of its proper divisors (30436799472).

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

12214401120 is a wasteful number, since it uses less digits than its factorization.

12214401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197325 (or 197314 counting only the distinct ones).

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

Adding to 12214401120 its reverse (2110441221), we get a palindrome (14324842341).

The spelling of 12214401120 in words is "twelve billion, two hundred fourteen million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 197261 394522 591783 789044 986305 1183566 1578088 1775349 1972610 2367132 2958915 3156176 3550698 3945220 4734264 5917830 6312352 7101396 7890440 8482223 8876745 9468528 11835660 14202792 15780880 16964446 17753490 18937056 23671320 25446669 28405584 31561760 33928892 35506980 42411115 47342640 50893338 56811168 67857784 71013960 76340007 84822230 94685280 101786676 127233345 135715568 142027920 152680014 169644460 203573352 254466690 271431136 284055840 305360028 339288920 381700035 407146704 508933380 610720056 678577840 763400070 814293408 1017866760 1221440112 1357155680 1526800140 2035733520 2442880224 3053600280 4071467040 6107200560 12214401120