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12220211201200 = 2452239937136421
BaseRepresentation
bin1011000111010011110101…
…0110010000010010110000
31121021020111112022012010021
42301310331112100102300
53100203443031414300
641553515412213224
72400611140232242
oct261647526202260
947236445265107
1012220211201200
113991620708672
12145443800a214
136a84900931c2
14303666042092
15162d2092dd1a
hexb1d3d5904b0

12220211201200 has 120 divisors (see below), whose sum is σ = 29513579135040. Its totient is φ = 4862401689600.

The previous prime is 12220211201197. The next prime is 12220211201213. The reversal of 12220211201200 is 210211202221.

It is a happy number.

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

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, 89508990 + ... + 89645410.

It is an arithmetic number, because the mean of its divisors is an integer number (245946492792).

Almost surely, 212220211201200 is an apocalyptic number.

12220211201200 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 12220211201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756789567520).

12220211201200 is an abundant number, since it is smaller than the sum of its proper divisors (17293367933840).

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

12220211201200 is a wasteful number, since it uses less digits than its factorization.

12220211201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137615 (or 137604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220211201200 its reverse (210211202221), we get a palindrome (12430422403421).

The spelling of 12220211201200 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 239 400 478 937 956 1195 1874 1912 2390 3748 3824 4685 4780 5975 7496 9370 9560 11950 14992 18740 19120 23425 23900 37480 46850 47800 74960 93700 95600 136421 187400 223943 272842 374800 447886 545684 682105 895772 1091368 1119715 1364210 1791544 2182736 2239430 2728420 3410525 3583088 4478860 5456840 5598575 6821050 8957720 10913680 11197150 13642100 17915440 22394300 27284200 32604619 44788600 54568400 65209238 89577200 127826477 130418476 163023095 255652954 260836952 326046190 511305908 521673904 639132385 652092380 815115475 1022611816 1278264770 1304184760 1630230950 2045223632 2556529540 2608369520 3195661925 3260461900 5113059080 6391323850 6520923800 10226118160 12782647700 13041847600 25565295400 30550528003 51130590800 61101056006 122202112012 152752640015 244404224024 305505280030 488808448048 611010560060 763763200075 1222021120120 1527526400150 2444042240240 3055052800300 6110105600600 12220211201200