12423312000 has 1152 divisors, whose sum is σ = 52822748160. Its totient is φ = 2787840000.

The previous prime is 12423311963. The next prime is 12423312029. The reversal of 12423312000 is 21332421.

12423312000 is a `hidden beast` number, since 12 + 423 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400751985 + ... + 400752015.

It is an arithmetic number, because the mean of its divisors is an integer number (45853080).

Almost surely, 2^12423312000 is an apocalyptic number.

12423312000 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 12423312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411374080).

12423312000 is an abundant number, since it is smaller than the sum of its proper divisors (40399436160).

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

12423312000 is a wasteful number, since it uses less digits than its factorization.

12423312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12423312000 its reverse (21332421), we get a palindrome (12444644421).

It can be divided in two parts, 12423 and 312000, that added together give a palindrome (324423).

The spelling of 12423312000 in words is "twelve billion, four hundred twenty-three million, three hundred twelve thousand".