12352002400 has 72 divisors (see below), whose sum is σ = 30323137320. Its totient is φ = 4913141760.

The previous prime is 12352002373. The next prime is 12352002401. The reversal of 12352002400 is 420025321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12352002401) 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, 100072 + ... + 186328.

It is an arithmetic number, because the mean of its divisors is an integer number (421154685).

Almost surely, 2^12352002400 is an apocalyptic number.

12352002400 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 12352002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161568660).

12352002400 is an abundant number, since it is smaller than the sum of its proper divisors (17971134920).

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

12352002400 is a wasteful number, since it uses less digits than its factorization.

12352002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86456 (or 86443 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12352002400 its reverse (420025321), we get a palindrome (12772027721).

The spelling of 12352002400 in words is "twelve billion, three hundred fifty-two million, two thousand, four hundred".