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12212200013130 = 23351326871294849
BaseRepresentation
bin1011000110110101111111…
…0101111111110101001010
31121020110211012211200002000
42301231133311333311022
53100041041200410010
641550112432451430
72400205462243635
oct261553765776512
947213735750060
1012212200013130
11398918a599487
1214529810a9b76
136a77b4433830
143031060a4c1c
15162a024737c0
hexb1b5fd7fd4a

12212200013130 has 128 divisors (see below), whose sum is σ = 35084012544000. Its totient is φ = 3004958932992.

The previous prime is 12212200013087. The next prime is 12212200013161. The reversal of 12212200013130 is 3131000221221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8783946 + ... + 10078794.

It is an arithmetic number, because the mean of its divisors is an integer number (274093848000).

Almost surely, 212212200013130 is an apocalyptic number.

12212200013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212200013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542006272000).

12212200013130 is an abundant number, since it is smaller than the sum of its proper divisors (22871812530870).

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

12212200013130 is a wasteful number, since it uses less digits than its factorization.

12212200013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297565 (or 1297559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212200013130 its reverse (3131000221221), we get a palindrome (15343200234351).

The spelling of 12212200013130 in words is "twelve trillion, two hundred twelve billion, two hundred million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 2687 3510 5374 8061 13435 16122 24183 26870 34931 40305 48366 69862 72549 80610 104793 120915 145098 174655 209586 241830 314379 349310 362745 523965 628758 725490 943137 1047930 1294849 1571895 1886274 2589698 3143790 3884547 4715685 6474245 7769094 9431370 11653641 12948490 16833037 19422735 23307282 33666074 34960923 38845470 50499111 58268205 69921846 84165185 100998222 116536410 151497333 168330370 174804615 252495555 302994666 349609230 454491999 504991110 757486665 908983998 1514973330 2272459995 3479259263 4544919990 6958518526 10437777789 17396296315 20875555578 31313333367 34792592630 45230370419 52188888945 62626666734 90460740838 93940000101 104377777890 135691111257 156566666835 187880000202 226151852095 271382222514 313133333670 407073333771 452303704190 469700000505 678455556285 814146667542 939400001010 1221220001313 1356911112570 2035366668855 2442440002626 4070733337710 6106100006565 12212200013130