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12021131221021 = 1312171636146441
BaseRepresentation
bin1010111011101110001101…
…0000011001100000011101
31120120012122022012100120001
42232323203100121200131
53033423234043033041
641322233105254301
72350332560304616
oct256734320314035
946505568170501
1012021131221021
113915151202a2a
121421938634391
13692784559b70
142d7b7c20cc0d
1515ca6d13d131
hexaeee341981d

12021131221021 has 16 divisors (see below), whose sum is σ = 12957542036208. Its totient is φ = 11086394572800.

The previous prime is 12021131221009. The next prime is 12021131221037. The reversal of 12021131221021 is 12012213112021.

12021131221021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3150181265625 + 8870949955396 = 1774875^2 + 2978414^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021131221021 - 221 = 12021129123869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12021131221021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021131228021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258824161 + ... + 258870601.

It is an arithmetic number, because the mean of its divisors is an integer number (809846377263).

Almost surely, 212021131221021 is an apocalyptic number.

It is an amenable number.

12021131221021 is a deficient number, since it is larger than the sum of its proper divisors (936410815187).

12021131221021 is a wasteful number, since it uses less digits than its factorization.

12021131221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64032.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12021131221021 its reverse (12012213112021), we get a palindrome (24033344333042).

The spelling of 12021131221021 in words is "twelve trillion, twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 13 1217 15821 16361 46441 212693 603733 19911337 56518697 258847381 734743061 759821201 9877675613 924702401617 12021131221021