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2222221202120 = 2354310120116361
BaseRepresentation
bin100000010101100110101…
…101001001001011001000
321212102221102020120012102
4200111212231021023020
5242402102111431440
64420512504332532
7316356466361633
oct40254655111310
97772842216172
102222221202120
11787490a32037
122ba821474148
131317294a414a
14797adc52c1a
153cc121c6b15
hex20566b492c8

2222221202120 has 128 divisors (see below), whose sum is σ = 5170314948480. Its totient is φ = 859057920000.

The previous prime is 2222221202119. The next prime is 2222221202147. The reversal of 2222221202120 is 212021222222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2222221202092 and 2222221202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349347740 + ... + 349354100.

It is an arithmetic number, because the mean of its divisors is an integer number (40393085535).

Almost surely, 22222221202120 is an apocalyptic number.

2222221202120 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 2222221202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585157474240).

2222221202120 is an abundant number, since it is smaller than the sum of its proper divisors (2948093746360).

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

2222221202120 is a wasteful number, since it uses less digits than its factorization.

2222221202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2222221202120 its reverse (212021222222), we get a palindrome (2434242424342).

The spelling of 2222221202120 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 172 202 215 344 404 430 505 808 860 1010 1720 2011 2020 4022 4040 4343 6361 8044 8686 10055 12722 16088 17372 20110 21715 25444 31805 34744 40220 43430 50888 63610 80440 86473 86860 127220 172946 173720 203111 254440 273523 345892 406222 432365 547046 642461 691784 812444 864730 1015555 1094092 1284922 1367615 1624888 1729460 2031110 2188184 2569844 2735230 3212305 3458920 4062220 5139688 5470460 6424610 8124440 8733773 10940920 12791971 12849220 17467546 25583942 25698440 27625823 34935092 43668865 51167884 55251646 63959855 69870184 87337730 102335768 110503292 127919710 138129115 174675460 221006584 255839420 276258230 349350920 511678840 550054753 552516460 1100109506 1105032920 1291989071 2200219012 2583978142 2750273765 4400438024 5167956284 5500547530 6459945355 10335912568 11001095060 12919890710 22002190120 25839781420 51679562840 55555530053 111111060106 222222120212 277777650265 444444240424 555555300530 1111110601060 2222221202120