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20121211120221 = 323559762805577
BaseRepresentation
bin1001001001100110101011…
…01001000010101001011101
32122020120100210120101202200
410210303111221002221131
510114131220021321341
6110443320133042113
74144465240366011
oct444632551025135
978216323511680
1020121211120221
1164583a3133762
12230b760a86339
13b2c564386c93
144d7c2c38a541
1524d5eb321db6
hex124cd5a42a5d

20121211120221 has 12 divisors (see below), whose sum is σ = 29064788553372. Its totient is φ = 13413763699776.

The previous prime is 20121211120207. The next prime is 20121211120243. The reversal of 20121211120221 is 12202111212102.

20121211120221 is a `hidden beast` number, since 201 + 2 + 121 + 1 + 120 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8252324854596 + 11868886265625 = 2872686^2 + 3445125^2 .

It is not a de Polignac number, because 20121211120221 - 213 = 20121211112029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20121211120194 and 20121211120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121211120271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31082416 + ... + 31723161.

It is an arithmetic number, because the mean of its divisors is an integer number (2422065712781).

Almost surely, 220121211120221 is an apocalyptic number.

It is an amenable number.

20121211120221 is a deficient number, since it is larger than the sum of its proper divisors (8943577433151).

20121211120221 is a wasteful number, since it uses less digits than its factorization.

20121211120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62841180 (or 62841177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121211120221 its reverse (12202111212102), we get a palindrome (32323322332323).

The spelling of 20121211120221 in words is "twenty trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 35597 106791 320373 62805577 188416731 565250193 2235690124469 6707070373407 20121211120221