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12404332200 = 233521317139673
BaseRepresentation
bin10111000110101101…
…10001011010101000
31012000110221100212010
423203112301122220
5200401002112300
65410511515520
7616251040551
oct134326613250
935013840763
1012404332200
115295a16417
1224a2228ba0
131228b61c50
148595cd328
154c8edca50
hex2e35b16a8

12404332200 has 384 divisors, whose sum is σ = 44228419200. Its totient is φ = 2848849920.

The previous prime is 12404332181. The next prime is 12404332231. The reversal of 12404332200 is 223340421.

12404332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18431064 + ... + 18431736.

It is an arithmetic number, because the mean of its divisors is an integer number (115178175).

Almost surely, 212404332200 is an apocalyptic number.

12404332200 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 12404332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114209600).

12404332200 is an abundant number, since it is smaller than the sum of its proper divisors (31824087000).

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

12404332200 is a wasteful number, since it uses less digits than its factorization.

12404332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12404332200 its reverse (223340421), we get a palindrome (12627672621).

The spelling of 12404332200 in words is "twelve billion, four hundred four million, three hundred thirty-two thousand, two hundred".