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12122000012000 = 25533119744373
BaseRepresentation
bin1011000001100101111110…
…0000010011001011100000
31120220212000000121211222102
42300121133200103023200
53042101324000341000
641440434145425532
72360533314006464
oct260313740231340
946825000554872
1012122000012000
113953a02a945aa
1214393a933b2a8
1369c13b0568b8
142dc9ca7c44a4
151604c378c3d5
hexb065f8132e0

12122000012000 has 96 divisors (see below), whose sum is σ = 29879524793664. Its totient is φ = 4833208512000.

The previous prime is 12122000011997. The next prime is 12122000012011. The reversal of 12122000012000 is 21000022121.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 3628187 + ... + 6116186.

It is an arithmetic number, because the mean of its divisors is an integer number (311245049934).

Almost surely, 212122000012000 is an apocalyptic number.

12122000012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122000012000 is an abundant number, since it is smaller than the sum of its proper divisors (17757524781664).

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

12122000012000 is an equidigital number, since it uses as much as digits as its factorization.

12122000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744709 (or 9744691 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12122000012000 its reverse (21000022121), we get a palindrome (12143000034121).

The spelling of 12122000012000 in words is "twelve trillion, one hundred twenty-two billion, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 311 400 500 622 800 1000 1244 1555 2000 2488 3110 4000 4976 6220 7775 9952 12440 15550 24880 31100 38875 49760 62200 77750 124400 155500 248800 311000 622000 1244000 9744373 19488746 38977492 48721865 77954984 97443730 155909968 194887460 243609325 311819936 389774920 487218650 779549840 974437300 1218046625 1559099680 1948874600 2436093250 3030500003 3897749200 4872186500 6061000006 7795498400 9744373000 12122000012 15152500015 19488746000 24244000024 30305000030 38977492000 48488000048 60610000060 75762500075 96976000096 121220000120 151525000150 242440000240 303050000300 378812500375 484880000480 606100000600 757625000750 1212200001200 1515250001500 2424400002400 3030500003000 6061000006000 12122000012000