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12220221001220 = 22519379198742703
BaseRepresentation
bin1011000111010011110111…
…1011101000111000000100
31121021020112012202002012222
42301310331323220320010
53100204003034014340
641553520402231512
72400611316436601
oct261647573507004
947236465662188
1012220221001220
1139916261a1561
12145443b355598
136a8492114a2b
143036674736a8
15162d217178b5
hexb1d3dee8e04

12220221001220 has 96 divisors (see below), whose sum is σ = 27098660198400. Its totient is φ = 4616169554304.

The previous prime is 12220221001217. The next prime is 12220221001231. The reversal of 12220221001220 is 2210012202221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286146389 + ... + 286189091.

It is an arithmetic number, because the mean of its divisors is an integer number (282277710400).

Almost surely, 212220221001220 is an apocalyptic number.

12220221001220 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 12220221001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549330099200).

12220221001220 is an abundant number, since it is smaller than the sum of its proper divisors (14878439197180).

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

12220221001220 is a wasteful number, since it uses less digits than its factorization.

12220221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45097 (or 45095 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220221001220 its reverse (2210012202221), we get a palindrome (14430233203441).

The spelling of 12220221001220 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 379 380 758 1516 1895 1987 3790 3974 7201 7580 7948 9935 14402 19870 28804 36005 37753 39740 42703 72010 75506 85406 144020 151012 170812 188765 213515 377530 427030 753073 755060 811357 854060 1506146 1622714 3012292 3245428 3765365 4056785 7530730 8113570 14308387 15061460 16184437 16227140 28616774 32368874 57233548 64737748 71541935 80922185 84850861 143083870 161844370 169701722 286167740 307504303 323688740 339403444 424254305 615008606 848508610 1230017212 1537521515 1612166359 1697017220 3075043030 3224332718 6150086060 6448665436 8060831795 16121663590 32158476319 32243327180 64316952638 128633905276 160792381595 321584763190 611011050061 643169526380 1222022100122 2444044200244 3055055250305 6110110500610 12220221001220