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12020110000 = 24545932027
BaseRepresentation
bin10110011000111010…
…00101001010110000
31011000200221212002021
423030131011022300
5144104122010000
65304424401224
7603604151323
oct131435051260
934020855067
1012020110000
115109047608
1223b5616214
131197386032
148205747ba
154a53e411a
hex2cc7452b0

12020110000 has 100 divisors (see below), whose sum is σ = 29165345352. Its totient is φ = 4797568000.

The previous prime is 12020109977. The next prime is 12020110007. The reversal of 12020110000 is 1102021.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12020110007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5928987 + ... + 5931013.

Almost surely, 212020110000 is an apocalyptic number.

12020110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582672676).

12020110000 is an abundant number, since it is smaller than the sum of its proper divisors (17145235352).

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

12020110000 is an equidigital number, since it uses as much as digits as its factorization.

12020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12020110000 its reverse (1102021), we get a palindrome (12021212021).

The spelling of 12020110000 in words is "twelve billion, twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 593 625 1000 1186 1250 2000 2027 2372 2500 2965 4054 4744 5000 5930 8108 9488 10000 10135 11860 14825 16216 20270 23720 29650 32432 40540 47440 50675 59300 74125 81080 101350 118600 148250 162160 202700 237200 253375 296500 370625 405400 506750 593000 741250 810800 1013500 1186000 1202011 1266875 1482500 2027000 2404022 2533750 2965000 4054000 4808044 5067500 5930000 6010055 9616088 10135000 12020110 19232176 20270000 24040220 30050275 48080440 60100550 96160880 120201100 150251375 240402200 300502750 480804400 601005500 751256875 1202011000 1502513750 2404022000 3005027500 6010055000 12020110000