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12210323121 = 3231373133779
BaseRepresentation
bin10110101111100101…
…01011111010110001
31011111221212200102200
423113302223322301
5200001320314441
65335341333413
7611404014453
oct132762537261
934457780380
1012210323121
1151a6455537
122449267269
1311c78c4789
1483b92a2d3
154b6e687b6
hex2d7cabeb1

12210323121 has 48 divisors (see below), whose sum is σ = 18762831360. Its totient is φ = 7638209280.

The previous prime is 12210323107. The next prime is 12210323149. The reversal of 12210323121 is 12132301221.

12210323121 is a `hidden beast` number, since 1 + 221 + 0 + 323 + 121 = 666.

It is not a de Polignac number, because 12210323121 - 29 = 12210322609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210323094 and 12210323103.

It is not an unprimeable number, because it can be changed into a prime (12210323921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3229210 + ... + 3232988.

It is an arithmetic number, because the mean of its divisors is an integer number (390892320).

Almost surely, 212210323121 is an apocalyptic number.

It is an amenable number.

12210323121 is a deficient number, since it is larger than the sum of its proper divisors (6552508239).

12210323121 is a wasteful number, since it uses less digits than its factorization.

12210323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4163 counting only the distinct ones).

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

Adding to 12210323121 its reverse (12132301221), we get a palindrome (24342624342).

The spelling of 12210323121 in words is "twelve billion, two hundred ten million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 279 313 333 939 1147 2817 3441 3779 9703 10323 11337 11581 29109 34011 34743 87327 104229 117149 139823 351447 359011 419469 1054341 1077033 1182827 1258407 3231099 3548481 4334513 10645443 13003539 36667637 39010617 43764599 110002911 131293797 330008733 393881391 1356702569 4070107707 12210323121