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2211220222120 = 235713977621779
BaseRepresentation
bin100000001011010110111…
…111101111000010101000
321211101112201221212122201
4200023112333233002220
5242212034334101440
64411453123225544
7315520045524640
oct40132677570250
97741481855581
102211220222120
11782856194a28
122b86712182b4
131306952c5720
1479048ba9520
153c7bb4e219a
hex202d6fef0a8

2211220222120 has 128 divisors (see below), whose sum is σ = 6129656467200. Its totient is φ = 699097337856.

The previous prime is 2211220222117. The next prime is 2211220222121. The reversal of 2211220222120 is 212220221122.

2211220222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2211220222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3245391 + ... + 3867169.

It is an arithmetic number, because the mean of its divisors is an integer number (47887941150).

Almost surely, 22211220222120 is an apocalyptic number.

2211220222120 is a gapful number since it is divisible by the number (20) 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 2211220222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064828233600).

2211220222120 is an abundant number, since it is smaller than the sum of its proper divisors (3918436245080).

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

2211220222120 is a wasteful number, since it uses less digits than its factorization.

2211220222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622787 (or 622783 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2211220222120 its reverse (212220221122), we get a palindrome (2423440443242).

The spelling of 2211220222120 in words is "two trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 977 1820 1954 3640 3908 4885 6839 7816 9770 12701 13678 19540 25402 27356 34195 39080 50804 54712 63505 68390 88907 101608 127010 136780 177814 254020 273560 355628 444535 508040 621779 711256 889070 1243558 1778140 2487116 3108895 3556280 4352453 4974232 6217790 8083127 8704906 12435580 16166254 17409812 21762265 24871160 32332508 34819624 40415635 43524530 56581889 64665016 80831270 87049060 113163778 161662540 174098120 226327556 282909445 323325080 452655112 565818890 607478083 1131637780 1214956166 2263275560 2429912332 3037390415 4252346581 4859824664 6074780830 7897215079 8504693162 12149561660 15794430158 17009386324 21261732905 24299123320 31588860316 34018772648 39486075395 42523465810 55280505553 63177720632 78972150790 85046931620 110561011106 157944301580 170093863240 221122022212 276402527765 315888603160 442244044424 552805055530 1105610111060 2211220222120