12354202400 has 72 divisors (see below), whose sum is σ = 30192067584. Its totient is φ = 4936377600.

The previous prime is 12354202387. The next prime is 12354202403. The reversal of 12354202400 is 420245321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12354202403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785009 + ... + 800591.

It is an arithmetic number, because the mean of its divisors is an integer number (419334272).

Almost surely, 2^12354202400 is an apocalyptic number.

12354202400 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 12354202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096033792).

12354202400 is an abundant number, since it is smaller than the sum of its proper divisors (17837865184).

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

12354202400 is a wasteful number, since it uses less digits than its factorization.

12354202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 12354202400 its reverse (420245321), we get a palindrome (12774447721).

The spelling of 12354202400 in words is "twelve billion, three hundred fifty-four million, two hundred two thousand, four hundred".