12434104000 has 112 divisors (see below), whose sum is σ = 30845857536. Its totient is φ = 4965120000.

The previous prime is 12434103961. The next prime is 12434104019. The reversal of 12434104000 is 40143421.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6903100 + ... + 6904900.

Almost surely, 2^12434104000 is an apocalyptic number.

12434104000 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 12434104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422928768).

12434104000 is an abundant number, since it is smaller than the sum of its proper divisors (18411753536).

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

12434104000 is an equidigital number, since it uses as much as digits as its factorization.

12434104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12434104000 its reverse (40143421), we get a palindrome (12474247421).

It can be divided in two parts, 1243410 and 4000, that added together give a triangular number (1247410 = T₁₅₇₉).

The spelling of 12434104000 in words is "twelve billion, four hundred thirty-four million, one hundred four thousand".