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12122313211232 = 257371113137659
BaseRepresentation
bin1011000001100111001000…
…1011000011110101100000
31120220212210211222000112222
42300121302023003311200
53042102444140224412
641440525214410212
72360544136112000
oct260316213036540
946825724860488
1012122313211232
113954053863844
121439476200968
1369c18abc64a3
142dca1a232000
151604e1007072
hexb06722c3d60

12122313211232 has 192 divisors, whose sum is σ = 28473814656000. Its totient is φ = 5076738938880.

The previous prime is 12122313211213. The next prime is 12122313211247. The reversal of 12122313211232 is 23211231322121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87991619 + ... + 88129277.

It is an arithmetic number, because the mean of its divisors is an integer number (148301118000).

Almost surely, 212122313211232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122313211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236907328000).

12122313211232 is an abundant number, since it is smaller than the sum of its proper divisors (16351501444768).

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

12122313211232 is a wasteful number, since it uses less digits than its factorization.

12122313211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137874 (or 137852 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 12122313211232 its reverse (23211231322121), we get a palindrome (35333544533353).

The spelling of 12122313211232 in words is "twelve trillion, one hundred twenty-two billion, three hundred thirteen million, two hundred eleven thousand, two hundred thirty-two".