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12002132220012 = 2234112317965759
BaseRepresentation
bin1010111010100111011011…
…0100111101100001101100
31120111101121020020002210000
42232221312310331201230
53033120331322020022
641305411534544300
72346061011412254
oct256516664754154
946441536202700
1012002132220012
11390809181a300
12141a115968090
13690a4737c02c
142d6c98c54964
1515c30a1ee6ac
hexaea76d3d86c

12002132220012 has 180 divisors, whose sum is σ = 34596437863680. Its totient is φ = 3625532792640.

The previous prime is 12002132219983. The next prime is 12002132220017. The reversal of 12002132220012 is 21002223120021.

12002132220012 is a `hidden beast` number, since 120 + 0 + 21 + 322 + 200 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12002132220017) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11944789 + ... + 12910547.

It is an arithmetic number, because the mean of its divisors is an integer number (192202432576).

Almost surely, 212002132220012 is an apocalyptic number.

12002132220012 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 12002132220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298218931840).

12002132220012 is an abundant number, since it is smaller than the sum of its proper divisors (22594305643668).

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

12002132220012 is a wasteful number, since it uses less digits than its factorization.

12002132220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966114 (or 966092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002132220012 its reverse (21002223120021), we get a palindrome (33004355340033).

Subtracting 12002132220012 from its reverse (21002223120021), we obtain a palindrome (9000090900009).

The spelling of 12002132220012 in words is "twelve trillion, two billion, one hundred thirty-two million, two hundred twenty thousand, twelve".