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111001220121220 = 2251113226699111821
BaseRepresentation
bin11001001111010001111100…
…010010111000001010000100
3112120000121112212211210020221
4121033101330102320022010
5104022120444322334340
61032025131225434124
732244400466236402
oct3117217422701204
9476017485753227
10111001220121220
1132406397a65230
121054894403b944
1349c24a7287b00
141d5a6b8434472
15cc75e313b44a
hex64f47c4b8284

111001220121220 has 144 divisors (see below), whose sum is σ = 275372230996800. Its totient is φ = 37257422092800.

The previous prime is 111001220121191. The next prime is 111001220121227. The reversal of 111001220121220 is 22121022100111.

It is a junction number, because it is equal to n+sod(n) for n = 111001220121194 and 111001220121203.

It is not an unprimeable number, because it can be changed into a prime (111001220121227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992612910 + ... + 992724730.

It is an arithmetic number, because the mean of its divisors is an integer number (1912307159700).

Almost surely, 2111001220121220 is an apocalyptic number.

111001220121220 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 111001220121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137686115498400).

111001220121220 is an abundant number, since it is smaller than the sum of its proper divisors (164371010875580).

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

111001220121220 is a wasteful number, since it uses less digits than its factorization.

111001220121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138566 (or 138551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111001220121220 its reverse (22121022100111), we get a palindrome (133122242221331).

The spelling of 111001220121220 in words is "one hundred eleven trillion, one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2860 3380 3718 7436 9295 18590 26699 37180 53398 106796 111821 133495 223642 266990 293689 347087 447284 533980 559105 587378 694174 1118210 1174756 1230031 1388348 1453673 1468445 1735435 2236420 2460062 2907346 2936890 3470870 3817957 4512131 4920124 5814692 5873780 6150155 6941740 7268365 7635914 9024262 12300310 14536730 15271828 15990403 18048524 18897749 19089785 22560655 24600620 29073460 31980806 37795498 38179570 45121310 49633441 63961612 75590996 76359140 79952015 90242620 94488745 99266882 159904030 188977490 198533764 207875239 248167205 319808060 377954980 415750478 496334410 831500956 992668820 1039376195 2078752390 2985508879 4157504780 5971017758 11942035516 14927544395 29855088790 32840597669 38811615427 59710177580 65681195338 77623230854 131362390676 155246461708 164202988345 194058077135 328405976690 388116154270 426927769697 504551000551 656811953380 776232308540 853855539394 1009102001102 1707711078788 2018204002204 2134638848485 2522755002755 4269277696970 5045510005510 5550061006061 8538555393940 10091020011020 11100122012122 22200244024244 27750305030305 55500610060610 111001220121220