Search a number
-
+
12200001120000 = 28325437593881
BaseRepresentation
bin1011000110001000100010…
…1110111010011100000000
31121012022100001110200122100
42301202020232322130000
53044341100241320000
641540334140110400
72366264254332561
oct261421056723400
947168301420570
1012200001120000
113983a9a640521
121450537835400
136a65bc011785
143026a9cb2168
1516253b516a00
hexb1888bba700

12200001120000 has 1080 divisors, whose sum is σ = 45920400205680. Its totient is φ = 3110952960000.

The previous prime is 12200001119989. The next prime is 12200001120001. The reversal of 12200001120000 is 2110000221.

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 (12200001120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3143518060 + ... + 3143521940.

Almost surely, 212200001120000 is an apocalyptic number.

12200001120000 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 12200001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22960200102840).

12200001120000 is an abundant number, since it is smaller than the sum of its proper divisors (33720399085680).

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

12200001120000 is an equidigital number, since it uses as much as digits as its factorization.

12200001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 3987 counting only the distinct ones).

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

Adding to 12200001120000 its reverse (2110000221), we get a palindrome (12202111120221).

The spelling of 12200001120000 in words is "twelve trillion, two hundred billion, one million, one hundred twenty thousand".