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12002110111000 = 235345726262823
BaseRepresentation
bin1010111010100111010110…
…0000100111110100011000
31120111101112200121211220201
42232221311200213310120
53033120310142023000
641305405425031544
72346060322450432
oct256516540476430
946441480554821
1012002110111000
113908080299499
12141a10a4855b4
13690a4290a989
142d6c95d3b652
1515c3082d396a
hexaea75827d18

12002110111000 has 64 divisors (see below), whose sum is σ = 28146393737280. Its totient is φ = 4790338732800.

The previous prime is 12002110110973. The next prime is 12002110111027. The reversal of 12002110111000 is 11101120021.

12002110111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12002110110973) and next prime (12002110111027).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 12674412 + ... + 13588411.

It is an arithmetic number, because the mean of its divisors is an integer number (439787402145).

Almost surely, 212002110111000 is an apocalyptic number.

12002110111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002110111000 is an abundant number, since it is smaller than the sum of its proper divisors (16144283626280).

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

12002110111000 is a wasteful number, since it uses less digits than its factorization.

12002110111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26263301 (or 26263287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12002110111000 its reverse (11101120021), we get a palindrome (12013211231021).

The spelling of 12002110111000 in words is "twelve trillion, two billion, one hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 457 500 914 1000 1828 2285 3656 4570 9140 11425 18280 22850 45700 57125 91400 114250 228500 457000 26262823 52525646 105051292 131314115 210102584 262628230 525256460 656570575 1050512920 1313141150 2626282300 3282852875 5252564600 6565705750 12002110111 13131411500 24004220222 26262823000 48008440444 60010550555 96016880888 120021101110 240042202220 300052752775 480084404440 600105505550 1200211011100 1500263763875 2400422022200 3000527527750 6001055055500 12002110111000