Search a number
-
+
12022112101120 = 28511853843189
BaseRepresentation
bin1010111011110001110110…
…1110001010001100000000
31120120022011122220020002121
42232330131232022030000
53033432241144213440
641322514305054024
72350366100533432
oct256743556121400
946508148806077
1012022112101120
113915604957740
121421b71027314
136928ac8313a4
142d7c325c0652
1515cac92e434a
hexaef1db8a300

12022112101120 has 72 divisors (see below), whose sum is σ = 31414598646480. Its totient is φ = 4371677122560.

The previous prime is 12022112101117. The next prime is 12022112101159. The reversal of 12022112101120 is 2110121122021.

It is a super-2 number, since 2×120221121011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12022112101094 and 12022112101103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426907515 + ... + 426935674.

It is an arithmetic number, because the mean of its divisors is an integer number (436313870090).

Almost surely, 212022112101120 is an apocalyptic number.

12022112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022112101120 is an abundant number, since it is smaller than the sum of its proper divisors (19392486545360).

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

12022112101120 is an equidigital number, since it uses as much as digits as its factorization.

12022112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853843221 (or 853843207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12022112101120 its reverse (2110121122021), we get a palindrome (14132233223141).

The spelling of 12022112101120 in words is "twelve trillion, twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 853843189 1707686378 3415372756 4269215945 6830745512 8538431890 9392275079 13661491024 17076863780 18784550158 27322982048 34153727560 37569100316 46961375395 54645964096 68307455120 75138200632 93922750790 109291928192 136614910240 150276401264 187845501580 218583856384 273229820480 300552802528 375691003160 546459640960 601105605056 751382006320 1092919281920 1202211210112 1502764012640 2404422420224 3005528025280 6011056050560 12022112101120