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12200112202212 = 223211279163263827
BaseRepresentation
bin1011000110001000111101…
…0110101010000111100100
31121012022121210111020210100
42301202033112222013210
53044341312210432322
641540353145024100
72366300103452454
oct261421726520744
947168553436710
1012200112202212
113984047311200
121450568a85030
136a66090355ac
143026ba949d64
15162546159dac
hexb188f5aa1e4

12200112202212 has 432 divisors, whose sum is σ = 34710520965120. Its totient is φ = 3609648282240.

The previous prime is 12200112202199. The next prime is 12200112202217. The reversal of 12200112202212 is 21220221100221.

It is a happy number.

12200112202212 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 1 + 220 + 221 + 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 (12200112202217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14752251343 + ... + 14752252169.

It is an arithmetic number, because the mean of its divisors is an integer number (80348428160).

Almost surely, 212200112202212 is an apocalyptic number.

12200112202212 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 12200112202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355260482560).

12200112202212 is an abundant number, since it is smaller than the sum of its proper divisors (22510408762908).

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

12200112202212 is a wasteful number, since it uses less digits than its factorization.

12200112202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200112202212 its reverse (21220221100221), we get a palindrome (33420333302433).

The spelling of 12200112202212 in words is "twelve trillion, two hundred billion, one hundred twelve million, two hundred two thousand, two hundred twelve".