12051648400 has 135 divisors (see below), whose sum is σ = 31889471313. Its totient is φ = 4373635200.

The previous prime is 12051648379. The next prime is 12051648431. The reversal of 12051648400 is 484615021.

The square root of 12051648400 is 109780.

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

12051648400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4338593424 + 7713054976 = 65868^2 + 87824^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 24151351 + ... + 24151849.

Almost surely, 2^12051648400 is an apocalyptic number.

12051648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12051648400 is the 109780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051648400

12051648400 is an abundant number, since it is smaller than the sum of its proper divisors (19837822913).

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

12051648400 is an equidigital number, since it uses as much as digits as its factorization.

12051648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 12051648400 in words is "twelve billion, fifty-one million, six hundred forty-eight thousand, four hundred".