12434312000 has 224 divisors, whose sum is σ = 33949843200. Its totient is φ = 4473600000.

The previous prime is 12434311999. The next prime is 12434312017. The reversal of 12434312000 is 21343421.

It is a super-2 number, since 2×12434312000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8887301 + ... + 8888699.

It is an arithmetic number, because the mean of its divisors is an integer number (151561800).

Almost surely, 2^12434312000 is an apocalyptic number.

12434312000 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 12434312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974921600).

12434312000 is an abundant number, since it is smaller than the sum of its proper divisors (21515531200).

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

12434312000 is a wasteful number, since it uses less digits than its factorization.

12434312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12434312000 its reverse (21343421), we get a palindrome (12455655421).

The spelling of 12434312000 in words is "twelve billion, four hundred thirty-four million, three hundred twelve thousand".