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12011021222200 = 235271121310154001
BaseRepresentation
bin1010111011001000100010…
…1001110100000100111000
31120112020112201110012102021
42232302020221310010320
53033242032413102300
641313441553044224
72346524205604450
oct256621051640470
946466481405367
1012011021222200
113910933398200
12141b996856674
13691832b37a40
142d749d614d60
1515c67a7a2d1a
hexaec88a74138

12011021222200 has 576 divisors, whose sum is σ = 38153346154560. Its totient is φ = 3421440000000.

The previous prime is 12011021222183. The next prime is 12011021222203. The reversal of 12011021222200 is 222212011021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011021222203) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 222395200 + ... + 222449200.

It is an arithmetic number, because the mean of its divisors is an integer number (66238448185).

Almost surely, 212011021222200 is an apocalyptic number.

12011021222200 is a gapful number since it is divisible by the number (10) 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 12011021222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076673077280).

12011021222200 is an abundant number, since it is smaller than the sum of its proper divisors (26142324932360).

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

12011021222200 is a wasteful number, since it uses less digits than its factorization.

12011021222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54160 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12011021222200 its reverse (222212011021), we get a palindrome (12233233233221).

It can be divided in two parts, 12011021 and 222200, that added together give a palindrome (12233221).

The spelling of 12011021222200 in words is "twelve trillion, eleven billion, twenty-one million, two hundred twenty-two thousand, two hundred".