12119310438400 has 1053 divisors, whose sum is σ = 35352978245697. Its totient is φ = 4117379481600.

The previous prime is 12119310438397. The next prime is 12119310438421. The reversal of 12119310438400 is 483401391121.

It is a happy number.

The square root of 12119310438400 is 3481280.

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

It can be written as a sum of positive squares in only one way, i.e., 4362951757824 + 7756358680576 = 2088768^2 + 2785024^2 .

It is a super-2 number, since 2×12119310438400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12119310438400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 281844428779 + ... + 281844428821.

Almost surely, 2^{12119310438400} is an apocalyptic number.

12119310438400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12119310438400 is the 3481280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12119310438400

12119310438400 is an abundant number, since it is smaller than the sum of its proper divisors (23233667807297).

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

12119310438400 is an equidigital number, since it uses as much as digits as its factorization.

12119310438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 12119310438400 in words is "twelve trillion, one hundred nineteen billion, three hundred ten million, four hundred thirty-eight thousand, four hundred".