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12102021001200 = 2435213775770577
BaseRepresentation
bin1011000000011011100010…
…1010011010111111110000
31120211221102122120221111110
42300012320222122333300
53041234414334014300
641423331450113320
72356225235141544
oct260067052327760
946757378527443
1012102021001200
1139464903a1029
12143555241b840
1369a2a5b1a710
142dba53203a24
1515ec047ba550
hexb01b8a9aff0

12102021001200 has 120 divisors (see below), whose sum is σ = 41748869425648. Its totient is φ = 2978959011840.

The previous prime is 12102021001157. The next prime is 12102021001247. The reversal of 12102021001200 is 210012020121.

12102021001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387869689 + ... + 387900888.

Almost surely, 212102021001200 is an apocalyptic number.

12102021001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102021001200 is an abundant number, since it is smaller than the sum of its proper divisors (29646848424448).

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

12102021001200 is a wasteful number, since it uses less digits than its factorization.

12102021001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775770611 (or 775770600 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102021001200 its reverse (210012020121), we get a palindrome (12312033021321).

The spelling of 12102021001200 in words is "twelve trillion, one hundred two billion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 775770577 1551541154 2327311731 3103082308 3878852885 4654623462 6206164616 7757705770 9309246924 10085017501 11636558655 12412329232 15515411540 18618493848 19394264425 20170035002 23273117310 30255052503 31030823080 37236987696 38788528850 40340070004 46546234620 50425087505 58182793275 60510105006 62061646160 77577057700 80680140008 93092469240 100850175010 116365586550 121020210012 151275262515 155154115400 161360280016 186184938480 201700350020 232731173100 242040420024 252125437525 302550525030 310308230800 403400700040 465462346200 484080840048 504250875050 605101050060 756376312575 806801400080 930924692400 1008501750100 1210202100120 1512752625150 2017003500200 2420404200240 3025505250300 4034007000400 6051010500600 12102021001200