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12101214300 = 2235278964747
BaseRepresentation
bin10110100010100100…
…11110000001011100
31011020100120101021020
423101102132001130
5144240402324200
65320443004140
7605610424110
oct132122360134
934210511236
1012101214300
11514a90245a
122418809650
1311ab111c46
1482b247740
154ac5b4ea0
hex2d149e05c

12101214300 has 144 divisors (see below), whose sum is σ = 40464910080. Its totient is φ = 2734871040.

The previous prime is 12101214269. The next prime is 12101214311. The reversal of 12101214300 is 341210121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101214300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154527 + ... + 219273.

It is an arithmetic number, because the mean of its divisors is an integer number (281006320).

Almost surely, 212101214300 is an apocalyptic number.

12101214300 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 12101214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232455040).

12101214300 is an abundant number, since it is smaller than the sum of its proper divisors (28363695780).

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

12101214300 is a wasteful number, since it uses less digits than its factorization.

12101214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64860 (or 64853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12101214300 its reverse (341210121), we get a palindrome (12442424421).

The spelling of 12101214300 in words is "twelve billion, one hundred one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 89 100 105 140 150 175 178 210 267 300 350 356 420 445 525 534 623 700 890 1050 1068 1246 1335 1780 1869 2100 2225 2492 2670 3115 3738 4450 5340 6230 6675 7476 8900 9345 12460 13350 15575 18690 26700 31150 37380 46725 62300 64747 93450 129494 186900 194241 258988 323735 388482 453229 647470 776964 906458 971205 1294940 1359687 1618675 1812916 1942410 2266145 2719374 3237350 3884820 4532290 4856025 5438748 5762483 6474700 6798435 9064580 9712050 11330725 11524966 13596870 17287449 19424100 22661450 23049932 27193740 28812415 33992175 34574898 40337381 45322900 57624830 67984350 69149796 80674762 86437245 115249660 121012143 135968700 144062075 161349524 172874490 201686905 242024286 288124150 345748980 403373810 432186225 484048572 576248300 605060715 806747620 864372450 1008434525 1210121430 1728744900 2016869050 2420242860 3025303575 4033738100 6050607150 12101214300