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12330021212000 = 25534961362131
BaseRepresentation
bin1011001101101100111010…
…0010001100111101100000
31121122201221101012201022022
42303123032202030331200
53104003340412241000
642120200014001012
72411546264021312
oct263331642147540
947581841181268
1012330021212000
113a24150593008
1214717831a6168
136b59400cc55b
14308ac1ccb7b2
15165aeaee8585
hexb36ce88cf60

12330021212000 has 96 divisors (see below), whose sum is σ = 30295960347744. Its totient is φ = 4931829696000.

The previous prime is 12330021211957. The next prime is 12330021212011. The reversal of 12330021212000 is 21212003321.

12330021212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12330021212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198420935 + ... + 198483065.

It is an arithmetic number, because the mean of its divisors is an integer number (315582920289).

Almost surely, 212330021212000 is an apocalyptic number.

12330021212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330021212000 is an abundant number, since it is smaller than the sum of its proper divisors (17965939135744).

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

12330021212000 is an equidigital number, since it uses as much as digits as its factorization.

12330021212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111769 (or 111751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12330021212000 its reverse (21212003321), we get a palindrome (12351233215321).

The spelling of 12330021212000 in words is "twelve trillion, three hundred thirty billion, twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 49613 62131 99226 124262 198452 248065 248524 310655 396904 496130 497048 621310 793808 992260 994096 1240325 1242620 1553275 1587616 1984520 1988192 2480650 2485240 3106550 3969040 4961300 4970480 6201625 6213100 7766375 7938080 9922600 9940960 12403250 12426200 15532750 19845200 24806500 24852400 31065500 39690400 49613000 49704800 62131000 99226000 124262000 198452000 248524000 3082505303 6165010606 12330021212 15412526515 24660042424 30825053030 49320084848 61650106060 77062632575 98640169696 123300212120 154125265150 246600424240 308250530300 385313162875 493200848480 616501060600 770626325750 1233002121200 1541252651500 2466004242400 3082505303000 6165010606000 12330021212000