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12404100000 = 25355173239
BaseRepresentation
bin10111000110101011…
…11000101110100000
31012000110111120100010
423203111320232200
5200400422200000
65410502524520
7616246052565
oct134325705640
935013446303
1012404100000
115295877a16
1224a2136740
131228ab0356
1485956c86c
154c8e93d50
hex2e3578ba0

12404100000 has 288 divisors, whose sum is σ = 41104869120. Its totient is φ = 3274880000.

The previous prime is 12404099993. The next prime is 12404100053. The reversal of 12404100000 is 140421.

12404100000 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 (12).

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 47 ways as a sum of consecutive naturals, for example, 51899881 + ... + 51900119.

It is an arithmetic number, because the mean of its divisors is an integer number (142725240).

Almost surely, 212404100000 is an apocalyptic number.

12404100000 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 12404100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552434560).

12404100000 is an abundant number, since it is smaller than the sum of its proper divisors (28700769120).

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

12404100000 is an equidigital number, since it uses as much as digits as its factorization.

12404100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12404100000 its reverse (140421), we get a palindrome (12404240421).

The spelling of 12404100000 in words is "twelve billion, four hundred four million, one hundred thousand".