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12200213000 = 235329478951
BaseRepresentation
bin10110101110011000…
…00111101000001000
31011111020212000221202
423113030013220020
5144441223304000
65334340523332
7611222046053
oct132714075010
934436760852
1012200213000
1151a077a668
1224459b0548
1311c5794a61
1483a457a9a
154b611cdd5
hex2d7307a08

12200213000 has 128 divisors (see below), whose sum is σ = 30164659200. Its totient is φ = 4611040000.

The previous prime is 12200212961. The next prime is 12200213017. The reversal of 12200213000 is 31200221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358525 + ... + 1367475.

It is an arithmetic number, because the mean of its divisors is an integer number (235661400).

Almost surely, 212200213000 is an apocalyptic number.

12200213000 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 12200213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082329600).

12200213000 is an abundant number, since it is smaller than the sum of its proper divisors (17964446200).

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

12200213000 is a wasteful number, since it uses less digits than its factorization.

12200213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12200213000 its reverse (31200221), we get a palindrome (12231413221).

The spelling of 12200213000 in words is "twelve billion, two hundred million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 47 50 58 94 100 116 125 145 188 200 232 235 250 290 376 470 500 580 725 940 1000 1160 1175 1363 1450 1880 2350 2726 2900 3625 4700 5452 5800 5875 6815 7250 8951 9400 10904 11750 13630 14500 17902 23500 27260 29000 34075 35804 44755 47000 54520 68150 71608 89510 136300 170375 179020 223775 259579 272600 340750 358040 420697 447550 519158 681500 841394 895100 1038316 1118875 1297895 1363000 1682788 1790200 2076632 2103485 2237750 2595790 3365576 4206970 4475500 5191580 6489475 8413940 8951000 10383160 10517425 12200213 12978950 16827880 21034850 24400426 25957900 32447375 42069700 48800852 51915800 52587125 61001065 64894750 84139400 97601704 105174250 122002130 129789500 210348500 244004260 259579000 305005325 420697000 488008520 610010650 1220021300 1525026625 2440042600 3050053250 6100106500 12200213000