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12021332121 = 331512948573
BaseRepresentation
bin10110011001000011…
…01111100010011001
31011000210020221112000
423030201233202121
5144104430111441
65304510511213
7603620431341
oct131441574231
934023227460
1012021332121
115109801827
1223b5b05509
1311976c3396
148207b1d21
154a55862b6
hex2cc86f899

12021332121 has 16 divisors (see below), whose sum is σ = 17927329920. Its totient is φ = 7961144400.

The previous prime is 12021332047. The next prime is 12021332149. The reversal of 12021332121 is 12123312021.

12021332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12021332121 - 214 = 12021315737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12021332094 and 12021332103.

It is not an unprimeable number, because it can be changed into a prime (12021332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470210 + ... + 1478363.

It is an arithmetic number, because the mean of its divisors is an integer number (1120458120).

Almost surely, 212021332121 is an apocalyptic number.

It is an amenable number.

12021332121 is a deficient number, since it is larger than the sum of its proper divisors (5905997799).

12021332121 is a wasteful number, since it uses less digits than its factorization.

12021332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948733 (or 2948727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021332121 its reverse (12123312021), we get a palindrome (24144644142).

The spelling of 12021332121 in words is "twelve billion, twenty-one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 151 453 1359 4077 2948573 8845719 26537157 79611471 445234523 1335703569 4007110707 12021332121