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12220012221200 = 245276177599221
BaseRepresentation
bin1011000111010011000101…
…1111001101001100010000
31121021012222122212221212122
42301310301133031030100
53100203041112034300
641553443543313412
72400603203023520
oct261646137151420
947235878787778
1012220012221200
113991529361a93
1214543a144b868
136a845aaa5264
14303647847680
15162d0d226c85
hexb1d317cd310

12220012221200 has 240 divisors, whose sum is σ = 34110799864320. Its totient is φ = 4120056576000.

The previous prime is 12220012221191. The next prime is 12220012221223. The reversal of 12220012221200 is 212221002221.

It is a happy number.

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, 1325232590 + ... + 1325241810.

It is an arithmetic number, because the mean of its divisors is an integer number (142128332768).

Almost surely, 212220012221200 is an apocalyptic number.

12220012221200 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 12220012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055399932160).

12220012221200 is an abundant number, since it is smaller than the sum of its proper divisors (21890787643120).

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

12220012221200 is a wasteful number, since it uses less digits than its factorization.

12220012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066 (or 17055 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220012221200 its reverse (212221002221), we get a palindrome (12432233223421).

The spelling of 12220012221200 in words is "twelve trillion, two hundred twenty billion, twelve million, two hundred twenty-one thousand, two hundred".