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12404231230200 = 23352175639215659
BaseRepresentation
bin1011010010000001010111…
…0010111101001011111000
31121220211111012110020102220
42310200111302331023320
53111212331143331300
642214231500124040
72420114261535435
oct264402562751370
947824435406386
1012404231230200
113a52672174067
121484033b36620
136bc93881c824
1430c521ac6b8c
151679e1016da0
hexb4815cbd2f8

12404231230200 has 192 divisors, whose sum is σ = 40722473952000. Its totient is φ = 3112652298240.

The previous prime is 12404231230177. The next prime is 12404231230229. The reversal of 12404231230200 is 203213240421.

It is a happy number.

12404231230200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 57409971 + ... + 57625629.

It is an arithmetic number, because the mean of its divisors is an integer number (212096218500).

Almost surely, 212404231230200 is an apocalyptic number.

12404231230200 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 12404231230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361236976000).

12404231230200 is an abundant number, since it is smaller than the sum of its proper divisors (28318242721800).

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

12404231230200 is a wasteful number, since it uses less digits than its factorization.

12404231230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221334 (or 221325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12404231230200 its reverse (203213240421), we get a palindrome (12607444470621).

The spelling of 12404231230200 in words is "twelve trillion, four hundred four billion, two hundred thirty-one million, two hundred thirty thousand, two hundred".