12042302400 has 504 divisors, whose sum is σ = 45399594240. Its totient is φ = 3138186240.

The previous prime is 12042302383. The next prime is 12042302401. The reversal of 12042302400 is 420324021.

12042302400 is a `hidden beast` number, since 1 + 2 + 0 + 423 + 0 + 240 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042302401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18273271 + ... + 18273929.

It is an arithmetic number, because the mean of its divisors is an integer number (90078560).

Almost surely, 2^12042302400 is an apocalyptic number.

12042302400 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 12042302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699797120).

12042302400 is an abundant number, since it is smaller than the sum of its proper divisors (33357291840).

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

12042302400 is an equidigital number, since it uses as much as digits as its factorization.

12042302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042302400 its reverse (420324021), we get a palindrome (12462626421).

The spelling of 12042302400 in words is "twelve billion, forty-two million, three hundred two thousand, four hundred".