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12012211210000 = 24542275291723
BaseRepresentation
bin1010111011001100111110…
…0101010000011100010000
31120112100121122121211210111
42232303033211100130100
53033302002032210000
641314200022411104
72346565535412601
oct256631745203420
946470548554714
1012012211210000
1139113940856a1
121420069290a94
13691992534c31
142d7573699da8
1515c6e9eb1cba
hexaeccf950710

12012211210000 has 100 divisors (see below), whose sum is σ = 29210887986192. Its totient is φ = 4783716688000.

The previous prime is 12012211209991. The next prime is 12012211210001. The reversal of 12012211210000 is 1211221021.

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 (12012211210001) 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, 375862 + ... + 4915861.

Almost surely, 212012211210000 is an apocalyptic number.

12012211210000 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 12012211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605443993096).

12012211210000 is an abundant number, since it is smaller than the sum of its proper divisors (17198676776192).

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

12012211210000 is an equidigital number, since it uses as much as digits as its factorization.

12012211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291978 (or 5291957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12012211210000 its reverse (1211221021), we get a palindrome (12013422431021).

The spelling of 12012211210000 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 625 908 1000 1135 1250 1816 2000 2270 2500 3632 4540 5000 5675 9080 10000 11350 18160 22700 28375 45400 56750 90800 113500 141875 227000 283750 454000 567500 1135000 2270000 5291723 10583446 21166892 26458615 42333784 52917230 84667568 105834460 132293075 211668920 264586150 423337840 529172300 661465375 1058344600 1201221121 1322930750 2116689200 2402442242 2645861500 3307326875 4804884484 5291723000 6006105605 6614653750 9609768968 10583446000 12012211210 13229307500 19219537936 24024422420 26458615000 30030528025 48048844840 52917230000 60061056050 96097689680 120122112100 150152640125 240244224200 300305280250 480488448400 600610560500 750763200625 1201221121000 1501526401250 2402442242000 3003052802500 6006105605000 12012211210000