12038478400 has 189 divisors, whose sum is σ = 32228829243. Its totient is φ = 4423910400.

The previous prime is 12038478383. The next prime is 12038478409. The reversal of 12038478400 is 487483021.

The square root of 12038478400 is 109720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3102935616 + 8935542784 = 55704^2 + 94528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12038478400.

It is not an unprimeable number, because it can be changed into a prime (12038478409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57054295 + ... + 57054505.

Almost surely, 2^12038478400 is an apocalyptic number.

12038478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12038478400 is the 109720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12038478400

12038478400 is an abundant number, since it is smaller than the sum of its proper divisors (20190350843).

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

12038478400 is an equidigital number, since it uses as much as digits as its factorization.

12038478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 12038478400 in words is "twelve billion, thirty-eight million, four hundred seventy-eight thousand, four hundred".