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12300100110012 = 223111319748774713
BaseRepresentation
bin1011001011111101011100…
…0110010000011010111100
31121112212201010101020122210
42302333113012100122330
53103011101112010022
642054331000540420
72406436642605651
oct262772706203274
947485633336583
1012300100110012
113a12496938250
121467a12781710
136b2b821a0090
1430748413dc28
15164e492a6a0c
hexb2fd71906bc

12300100110012 has 192 divisors, whose sum is σ = 33958954681344. Its totient is φ = 3416047810560.

The previous prime is 12300100109989. The next prime is 12300100110031. The reversal of 12300100110012 is 21001100100321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12300100110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164593968 + ... + 164668680.

It is an arithmetic number, because the mean of its divisors is an integer number (176869555632).

Almost surely, 212300100110012 is an apocalyptic number.

12300100110012 is a gapful number since it is divisible by the number (12) 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 12300100110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979477340672).

12300100110012 is an abundant number, since it is smaller than the sum of its proper divisors (21658854571332).

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

12300100110012 is a wasteful number, since it uses less digits than its factorization.

12300100110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75428 (or 75426 counting only the distinct ones).

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

Adding to 12300100110012 its reverse (21001100100321), we get a palindrome (33301200210333).

The spelling of 12300100110012 in words is "twelve trillion, three hundred billion, one hundred million, one hundred ten thousand, twelve".