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12200000011200 = 2632525691488967
BaseRepresentation
bin1011000110001000100010…
…1010101011101111000000
31121012022022222101100122200
42301202020222223233000
53044341100000324300
641540334100233200
72366264242034121
oct261421052535700
947168288340580
1012200000011200
113983a99a53461
12145053739b800
136a65bba13b91
143026a9aa4048
1516253b398200
hexb1888aabbc0

12200000011200 has 252 divisors, whose sum is σ = 43437916588560. Its totient is φ = 3247613521920.

The previous prime is 12200000011159. The next prime is 12200000011207. The reversal of 12200000011200 is 211000000221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200000011207) 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 35 ways as a sum of consecutive naturals, for example, 7449117 + ... + 8938083.

Almost surely, 212200000011200 is an apocalyptic number.

12200000011200 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 12200000011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718958294280).

12200000011200 is an abundant number, since it is smaller than the sum of its proper divisors (31237916577360).

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

12200000011200 is a wasteful number, since it uses less digits than its factorization.

12200000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489564 (or 1489546 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200000011200 its reverse (211000000221), we get a palindrome (12411000011421).

The spelling of 12200000011200 in words is "twelve trillion, two hundred billion, eleven thousand, two hundred".