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212100201212020 = 225113415692822539
BaseRepresentation
bin110000001110011101101101…
…001001100110100001110100
31000210222120200200222010121121
4300032131231021212201310
5210300022203002241040
62031033253131153324
762450506465511512
oct6016355511464164
91023876620863547
10212100201212020
1161644210163880
121b9565342a5844
139146c6a07b064
143a539c127d4b2
15197c32dbe2c4a
hexc0e76d266874

212100201212020 has 48 divisors (see below), whose sum is σ = 485903873851200. Its totient is φ = 77127092766720.

The previous prime is 212100201211937. The next prime is 212100201212021. The reversal of 212100201212020 is 20212102001212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212100201211985 and 212100201212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100201212021) by changing a digit.

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, 73733911 + ... + 76556449.

It is an arithmetic number, because the mean of its divisors is an integer number (10122997371900).

Almost surely, 2212100201212020 is an apocalyptic number.

212100201212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100201212020 is an abundant number, since it is smaller than the sum of its proper divisors (273803672639180).

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

212100201212020 is a wasteful number, since it uses less digits than its factorization.

212100201212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164128 (or 3164126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212100201212020 its reverse (20212102001212), we get a palindrome (232312303213232).

The spelling of 212100201212020 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 341569 683138 1366276 1707845 2822539 3415690 3757259 5645078 6831380 7514518 11290156 14112695 15029036 18786295 28225390 31047929 37572590 56450780 62095858 75145180 124191716 155239645 310479290 620958580 964091823691 1928183647382 3856367294764 4820459118455 9640918236910 10605010060601 19281836473820 21210020121202 42420040242404 53025050303005 106050100606010 212100201212020