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22220112212120 = 23514960713014721
BaseRepresentation
bin1010000110101100001011…
…11001010011000010011000
32220200012222211021021110102
411003112011321103002120
510403023242211241440
6115131440103434532
74452231044324624
oct503260571230230
986605884237412
1022220112212120
117097551080729
1225aa4a6755a48
13c524698700b4
1456b65dd64184
15287ee1d1bb15
hex143585e53098

22220112212120 has 128 divisors (see below), whose sum is σ = 50463145152000. Its totient is φ = 8805209088000.

The previous prime is 22220112212119. The next prime is 22220112212189. The reversal of 22220112212120 is 2121221102222.

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 = 22220112212092 and 22220112212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4706651360 + ... + 4706656080.

It is an arithmetic number, because the mean of its divisors is an integer number (394243321500).

Almost surely, 222220112212120 is an apocalyptic number.

22220112212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22220112212120 is an abundant number, since it is smaller than the sum of its proper divisors (28243032939880).

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

22220112212120 is a wasteful number, since it uses less digits than its factorization.

22220112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22220112212120 its reverse (2121221102222), we get a palindrome (24341333314342).

The spelling of 22220112212120 in words is "twenty-two trillion, two hundred twenty billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 607 745 1192 1214 1301 1490 2428 2602 2980 3035 4721 4856 5204 5960 6070 6505 9442 10408 12140 13010 18884 23605 24280 26020 37768 47210 52040 90443 94420 180886 188840 193849 361772 387698 452215 703429 723544 775396 789707 904430 969245 1406858 1550792 1579414 1808860 1938490 2813716 2865647 3158828 3517145 3617720 3876980 3948535 5627432 5731294 6142021 6317656 7034290 7753960 7897070 11462588 12284042 14068580 14328235 15794140 22925176 24568084 28137160 28656470 30710105 31588280 49136168 57312940 61420210 114625880 117666343 122840420 235332686 245680840 426981403 470665372 588331715 853962806 915161129 941330744 1176663430 1707925612 1830322258 2134907015 2353326860 3415851224 3660644516 3728206747 4269814030 4575805645 4706653720 7321289032 7456413494 8539628060 9151611290 14912826988 17079256120 18303222580 18641033735 29825653976 36606445160 37282067470 74564134940 149128269880 555502805303 1111005610606 2222011221212 2777514026515 4444022442424 5555028053030 11110056106060 22220112212120