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12020110010000 = 24549471269283
BaseRepresentation
bin1010111011101010011001…
…1000110010011010010000
31120120010000010121110101122
42232322212120302122100
53033414141130310000
641321543505221412
72350265350202201
oct256724630623220
946503003543348
1012020110010000
113914777811a84
1214216b2631868
13692650b042a1
142d7ac273d5a8
1515ca0d66c085
hexaeea6632690

12020110010000 has 100 divisors (see below), whose sum is σ = 29132641907952. Its totient is φ = 4802963088000.

The previous prime is 12020110009987. The next prime is 12020110010011. The reversal of 12020110010000 is 1001102021.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12020110010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8835359 + ... + 10104641.

Almost surely, 212020110010000 is an apocalyptic number.

12020110010000 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 12020110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566320953976).

12020110010000 is an abundant number, since it is smaller than the sum of its proper divisors (17112531897952).

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

12020110010000 is an equidigital number, since it uses as much as digits as its factorization.

12020110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270258 (or 1270237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12020110010000 its reverse (1001102021), we get a palindrome (12021111112021).

The spelling of 12020110010000 in words is "twelve trillion, twenty billion, one hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 947 1000 1250 1894 2000 2500 3788 4735 5000 7576 9470 10000 15152 18940 23675 37880 47350 75760 94700 118375 189400 236750 378800 473500 591875 947000 1183750 1269283 1894000 2367500 2538566 4735000 5077132 6346415 9470000 10154264 12692830 20308528 25385660 31732075 50771320 63464150 101542640 126928300 158660375 253856600 317320750 507713200 634641500 793301875 1202011001 1269283000 1586603750 2404022002 2538566000 3173207500 4808044004 6010055005 6346415000 9616088008 12020110010 12692830000 19232176016 24040220020 30050275025 48080440040 60100550050 96160880080 120201100100 150251375125 240402200200 300502750250 480804400400 601005500500 751256875625 1202011001000 1502513751250 2404022002000 3005027502500 6010055005000 12020110010000