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12002022100020 = 2235792819010933
BaseRepresentation
bin1010111010100111000001…
…0000111000110000110100
31120111101022120000102112210
42232221300100320300310
53033120120124200040
641305353002413420
72346055203410601
oct256516020706064
946441276012483
1012002022100020
113908035646547
12141a0a4b01270
13690a2a604184
142d6c8838b6a8
1515c3006eb480
hexaea70438c34

12002022100020 has 96 divisors (see below), whose sum is σ = 34152160734720. Its totient is φ = 3148780078080.

The previous prime is 12002022099979. The next prime is 12002022100039. The reversal of 12002022100020 is 2000122020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12002022099969 and 12002022100005.

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, 3173527 + ... + 5837406.

It is an arithmetic number, because the mean of its divisors is an integer number (355751674320).

Almost surely, 212002022100020 is an apocalyptic number.

12002022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022100020 is an abundant number, since it is smaller than the sum of its proper divisors (22150138634700).

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

12002022100020 is a wasteful number, since it uses less digits than its factorization.

12002022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011305 (or 9011303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002022100020 its reverse (2000122020021), we get a palindrome (14002144120041).

The spelling of 12002022100020 in words is "twelve trillion, two billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 281 316 395 474 562 790 843 948 1124 1185 1405 1580 1686 2370 2810 3372 4215 4740 5620 8430 16860 22199 44398 66597 88796 110995 133194 221990 266388 332985 443980 665970 1331940 9010933 18021866 27032799 36043732 45054665 54065598 90109330 108131196 135163995 180218660 270327990 540655980 711863707 1423727414 2135591121 2532072173 2847454828 3559318535 4271182242 5064144346 7118637070 7596216519 8542364484 10128288692 10677955605 12660360865 14237274140 15192433038 21355911210 25320721730 30384866076 37981082595 42711822420 50641443460 75962165190 151924330380 200033701667 400067403334 600101105001 800134806668 1000168508335 1200202210002 2000337016670 2400404420004 3000505525005 4000674033340 6001011050010 12002022100020