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12212212100 = 225211471991187
BaseRepresentation
bin10110101111110011…
…11001000110000100
31011112002102122121212
423113321321012010
5200002311241400
65335450030552
7611426042624
oct132771710604
934462378555
1012212212100
1151a7525780
122449a18458
1311c810650a
1483bc9c884
154b71dd335
hex2d7e79184

12212212100 has 144 divisors (see below), whose sum is σ = 29698099200. Its totient is φ = 4320835200.

The previous prime is 12212212031. The next prime is 12212212211. The reversal of 12212212100 is 121221221.

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, 10287707 + ... + 10288893.

It is an arithmetic number, because the mean of its divisors is an integer number (206236800).

Almost surely, 212212212100 is an apocalyptic number.

12212212100 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 12212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

12212212100 is an abundant number, since it is smaller than the sum of its proper divisors (17485887100).

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

12212212100 is a wasteful number, since it uses less digits than its factorization.

12212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212212100 its reverse (121221221), we get a palindrome (12333433321).

The spelling of 12212212100 in words is "twelve billion, two hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 199 220 235 275 398 470 517 550 796 940 995 1034 1100 1175 1187 1990 2068 2189 2350 2374 2585 3980 4378 4700 4748 4975 5170 5935 8756 9353 9950 10340 10945 11870 12925 13057 18706 19900 21890 23740 25850 26114 29675 37412 43780 46765 51700 52228 54725 55789 59350 65285 93530 102883 109450 111578 118700 130570 187060 205766 218900 223156 233825 236213 261140 278945 326425 411532 467650 472426 514415 557890 613679 652850 935300 944852 1028830 1115780 1181065 1227358 1305700 1394725 2057660 2362130 2454716 2572075 2598343 2789450 3068395 4724260 5144150 5196686 5578900 5905325 6136790 10288300 10393372 11102011 11810650 12273580 12991715 15341975 22204022 23621300 25983430 30683950 44408044 51966860 55510055 61367900 64958575 111020110 122122121 129917150 222040220 244244242 259834300 277550275 488488484 555100550 610610605 1110201100 1221221210 2442442420 3053053025 6106106050 12212212100