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12011221200000 = 27355113724593
BaseRepresentation
bin1010111011001001010010…
…0100101010110010000000
31120112021001122202010101110
42232302110210222302000
53033242440111400000
641313513455203320
72346532154440221
oct256622444526200
946467048663343
1012011221200000
113910a26265510
12141ba31816540
136918653b4bb9
142d74bbdcd248
1515c68d105850
hexaec9492ac80

12011221200000 has 768 divisors, whose sum is σ = 44681363959680. Its totient is φ = 2832998400000.

The previous prime is 12011221199977. The next prime is 12011221200019. The reversal of 12011221200000 is 212211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488387704 + ... + 488412296.

Almost surely, 212011221200000 is an apocalyptic number.

12011221200000 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 12011221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340681979840).

12011221200000 is an abundant number, since it is smaller than the sum of its proper divisors (32670142759680).

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

12011221200000 is an equidigital number, since it uses as much as digits as its factorization.

12011221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011221200000 its reverse (212211021), we get a palindrome (12011433411021).

It can be divided in two parts, 12011221 and 200000, that added together give a palindrome (12211221).

The spelling of 12011221200000 in words is "twelve trillion, eleven billion, two hundred twenty-one million, two hundred thousand".