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12024304020 = 22325793732267
BaseRepresentation
bin10110011001011010…
…00101000110010100
31011000222211221012100
423030231011012110
5144111210212040
65305054322100
7603654616641
oct131455050624
934028757170
1012024304020
115110451643
1223b6ab9330
1311981c3cc1
14820d46dc8
154a5971b30
hex2ccb45194

12024304020 has 144 divisors (see below), whose sum is σ = 37050773760. Its totient is φ = 3156012288.

The previous prime is 12024304007. The next prime is 12024304043. The reversal of 12024304020 is 2040342021.

12024304020 is a `hidden beast` number, since 1 + 20 + 243 + 0 + 402 + 0 = 666.

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 = 12024303984 and 12024304002.

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, 5302927 + ... + 5305193.

It is an arithmetic number, because the mean of its divisors is an integer number (257297040).

Almost surely, 212024304020 is an apocalyptic number.

12024304020 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 12024304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525386880).

12024304020 is an abundant number, since it is smaller than the sum of its proper divisors (25026469740).

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

12024304020 is a wasteful number, since it uses less digits than its factorization.

12024304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12024304020 its reverse (2040342021), we get a palindrome (14064646041).

The spelling of 12024304020 in words is "twelve billion, twenty-four million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 373 395 474 711 746 790 948 1119 1185 1422 1492 1580 1865 2238 2267 2370 2844 3357 3555 3730 4476 4534 4740 5595 6714 6801 7110 7460 9068 11190 11335 13428 13602 14220 16785 20403 22380 22670 27204 29467 33570 34005 40806 45340 58934 67140 68010 81612 88401 102015 117868 136020 147335 176802 179093 204030 265203 294670 353604 358186 408060 442005 530406 537279 589340 716372 845591 884010 895465 1060812 1074558 1326015 1611837 1691182 1768020 1790930 2149116 2536773 2652030 2686395 3223674 3382364 3581860 4227955 5073546 5304060 5372790 6447348 7610319 8059185 8455910 10147092 10745580 12683865 15220638 16118370 16911820 25367730 30441276 32236740 38051595 50735460 66801689 76103190 133603378 152206380 200405067 267206756 334008445 400810134 601215201 668016890 801620268 1002025335 1202430402 1336033780 2004050670 2404860804 3006076005 4008101340 6012152010 12024304020