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12012111000300 = 22352591933839181
BaseRepresentation
bin1010111011001100100110…
…0110111111001011101100
31120112100100200001122221010
42232303021212333023230
53033301300404002200
641314142042505220
72346563210555205
oct256631146771354
946470320048833
1012012111000300
113911342560664
12142003b805210
13691977849b58
142d75642525ac
1515c6e12ba150
hexaecc99bf2ec

12012111000300 has 288 divisors, whose sum is σ = 35623879925760. Its totient is φ = 3124102348800.

The previous prime is 12012111000293. The next prime is 12012111000401. The reversal of 12012111000300 is 300011121021.

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, 1308361710 + ... + 1308370890.

It is an arithmetic number, because the mean of its divisors is an integer number (123694027520).

Almost surely, 212012111000300 is an apocalyptic number.

12012111000300 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 12012111000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811939962880).

12012111000300 is an abundant number, since it is smaller than the sum of its proper divisors (23611768925460).

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

12012111000300 is a wasteful number, since it uses less digits than its factorization.

12012111000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9826 counting only the distinct ones).

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

Adding to 12012111000300 its reverse (300011121021), we get a palindrome (12312122121321).

The spelling of 12012111000300 in words is "twelve trillion, twelve billion, one hundred eleven million, three hundred", and thus it is an aban number.