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12021120012200 = 235213171491825309
BaseRepresentation
bin1010111011101110001010…
…0101101000111110101000
31120120012121112002212221112
42232323202211220332220
53033423223210342300
641322232025125452
72350332363112055
oct256734245507650
946505545085845
1012021120012200
113915145947642
121421934929888
13692782134020
142d7b7a93202c
1515ca6c176e35
hexaeee2968fa8

12021120012200 has 192 divisors, whose sum is σ = 32083473870000. Its totient is φ = 4149436170240.

The previous prime is 12021120012151. The next prime is 12021120012211. The reversal of 12021120012200 is 221002112021.

It can be written as a sum of positive squares in 24 ways, for example, as 35080540804 + 11986039471396 = 187298^2 + 3462086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5673146 + ... + 7498454.

Almost surely, 212021120012200 is an apocalyptic number.

12021120012200 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 12021120012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041736935000).

12021120012200 is an abundant number, since it is smaller than the sum of its proper divisors (20062353857800).

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

12021120012200 is a wasteful number, since it uses less digits than its factorization.

12021120012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825504 (or 1825495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12021120012200 its reverse (221002112021), we get a palindrome (12242122124221).

The spelling of 12021120012200 in words is "twelve trillion, twenty-one billion, one hundred twenty million, twelve thousand, two hundred".