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12011223201012 = 223371717345711821
BaseRepresentation
bin1010111011001001010010…
…1100010011010011110100
31120112021001210111210021000
42232302110230103103310
53033242441114413022
641313514010123300
72346532210443120
oct256622454232364
946467053453230
1012011223201012
113910a27401942
12141ba32420530
13691865935929
142d74bc390580
1515c68d39d6ac
hexaec94b134f4

12011223201012 has 384 divisors, whose sum is σ = 37986230983680. Its totient is φ = 3203940925440.

The previous prime is 12011223201007. The next prime is 12011223201013. The reversal of 12011223201012 is 21010232211021.

12011223201012 is a `hidden beast` number, since 1 + 201 + 122 + 320 + 10 + 12 = 666.

12011223201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011223201013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1016086062 + ... + 1016097882.

It is an arithmetic number, because the mean of its divisors is an integer number (98922476520).

Almost surely, 212011223201012 is an apocalyptic number.

12011223201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011223201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993115491840).

12011223201012 is an abundant number, since it is smaller than the sum of its proper divisors (25975007782668).

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

12011223201012 is a wasteful number, since it uses less digits than its factorization.

12011223201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12011223201012 its reverse (21010232211021), we get a palindrome (33021455412033).

The spelling of 12011223201012 in words is "twelve trillion, eleven billion, two hundred twenty-three million, two hundred one thousand, twelve".