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2220122222120 = 2351197122342533
BaseRepresentation
bin100000010011101001100…
…110001010111000101000
321212020112010122022221102
4200103221212022320220
5242333302242101440
64415524324100532
7316253461343465
oct40235146127050
97766463568842
102220122222120
11786604130320
122ba336534748
1313148368264a
147965119066c
153cb3ccb1b15
hex204e998ae28

2220122222120 has 128 divisors (see below), whose sum is σ = 5510201437440. Its totient is φ = 798322237440.

The previous prime is 2220122222117. The next prime is 2220122222141. The reversal of 2220122222120 is 212222210222.

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 = 2220122222092 and 2220122222101.

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, 52176374 + ... + 52218906.

It is an arithmetic number, because the mean of its divisors is an integer number (43048448730).

Almost surely, 22220122222120 is an apocalyptic number.

2220122222120 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 2220122222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755100718720).

2220122222120 is an abundant number, since it is smaller than the sum of its proper divisors (3290079215320).

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

2220122222120 is a wasteful number, since it uses less digits than its factorization.

2220122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43875 (or 43871 counting only the distinct ones).

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

Adding to 2220122222120 its reverse (212222210222), we get a palindrome (2432344432342).

The spelling of 2220122222120 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1223 1940 2134 2446 3880 4268 4892 5335 6115 8536 9784 10670 12230 13453 21340 24460 26906 42533 42680 48920 53812 67265 85066 107624 118631 134530 170132 212665 237262 269060 340264 425330 467863 474524 538120 593155 850660 935726 949048 1186310 1304941 1701320 1871452 2339315 2372620 2609882 3742904 4125701 4678630 4745240 5219764 6524705 8251402 9357260 10439528 13049410 16502804 18714520 20628505 26098820 33005608 41257010 45382711 52017859 52197640 82514020 90765422 104035718 165028040 181530844 208071436 226913555 260089295 363061688 416142872 453827110 520178590 572196449 907654220 1040357180 1144392898 1815308440 2080714360 2288785796 2860982245 4577571592 5045732323 5721964490 10091464646 11443928980 20182929292 22887857960 25228661615 40365858584 50457323230 55503055553 100914646460 111006111106 201829292920 222012222212 277515277765 444024444424 555030555530 1110061111060 2220122222120