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12011001202120 = 2352816611616633
BaseRepresentation
bin1010111011001000011101…
…1101011100010111001000
31120112020111022210002000211
42232302013131130113020
53033242012301431440
641313440000010504
72346523543463044
oct256620735342710
946466438702024
1012011001202120
113910923063888
12141b990000a34
1369182b94843b
142d749aac3024
1515c678b4aeea
hexaec8775c5c8

12011001202120 has 64 divisors (see below), whose sum is σ = 27161973149040. Its totient is φ = 4780057497600.

The previous prime is 12011001202097. The next prime is 12011001202159. The reversal of 12011001202120 is 2120210011021.

It can be written as a sum of positive squares in 8 ways, for example, as 8014368493156 + 3996632708964 = 2830966^2 + 1999158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12011001202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6621324 + ... + 8237956.

Almost surely, 212011001202120 is an apocalyptic number.

12011001202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011001202120 is an abundant number, since it is smaller than the sum of its proper divisors (15150971946920).

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

12011001202120 is a wasteful number, since it uses less digits than its factorization.

12011001202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617586 (or 1617582 counting only the distinct ones).

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

Adding to 12011001202120 its reverse (2120210011021), we get a palindrome (14131211213141).

The spelling of 12011001202120 in words is "twelve trillion, eleven billion, one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 562 661 1124 1322 1405 2248 2644 2810 3305 5288 5620 6610 11240 13220 26440 185741 371482 742964 928705 1485928 1616633 1857410 3233266 3714820 6466532 7429640 8083165 12933064 16166330 32332660 64665320 454273873 908547746 1068594413 1817095492 2137188826 2271369365 3634190984 4274377652 4542738730 5342972065 8548755304 9085477460 10685944130 18170954920 21371888260 42743776520 300275030053 600550060106 1201100120212 1501375150265 2402200240424 3002750300530 6005500601060 12011001202120