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121120001221120 = 295114301136407
BaseRepresentation
bin11011100010100001110010…
…101001011110001000000000
3120212211221220010200002222121
4123202201302221132020000
5111333412230303033440
61105333432130014024
734340426353402546
oct3342416251361000
9525757803602877
10121120001221120
1135657782108710
1211701a4b417314
13527774ac19615
1421ca34ca59d96
15e0092101434a
hex6e2872a5e200

121120001221120 has 80 divisors (see below), whose sum is σ = 316804503267648. Its totient is φ = 44043636797440.

The previous prime is 121120001221103. The next prime is 121120001221139. The reversal of 121120001221120 is 21122100021121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1211200012211202 (a number of 29 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 = 121120001221094 and 121120001221103.

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 7 ways as a sum of consecutive naturals, for example, 2150540044 + ... + 2150596363.

Almost surely, 2121120001221120 is an apocalyptic number.

121120001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120001221120 is an abundant number, since it is smaller than the sum of its proper divisors (195684502046528).

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

121120001221120 is an equidigital number, since it uses as much as digits as its factorization.

121120001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301136441 (or 4301136425 counting only the distinct ones).

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

Adding to 121120001221120 its reverse (21122100021121), we get a palindrome (142242101242241).

The spelling of 121120001221120 in words is "one hundred twenty-one trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 4301136407 8602272814 17204545628 21505682035 34409091256 43011364070 47312500477 68818182512 86022728140 94625000954 137636365024 172045456280 189250001908 236562502385 275272730048 344090912560 378500003816 473125004770 550545460096 688181825120 757000007632 946250009540 1101090920192 1376363650240 1514000015264 1892500019080 2202181840384 2752727300480 3028000030528 3785000038160 5505454600960 6056000061056 7570000076320 11010909201920 12112000122112 15140000152640 24224000244224 30280000305280 60560000610560 121120001221120