12051322400 has 108 divisors (see below), whose sum is σ = 31857832062. Its totient is φ = 4449669120.

The previous prime is 12051322333. The next prime is 12051322411. The reversal of 12051322400 is 422315021.

It can be written as a sum of positive squares in 9 ways, for example, as 178169104 + 11873153296 = 13348^2 + 108964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90632 + ... + 179768.

Almost surely, 2^12051322400 is an apocalyptic number.

12051322400 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 12051322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928916031).

12051322400 is an abundant number, since it is smaller than the sum of its proper divisors (19806509662).

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

12051322400 is a wasteful number, since it uses less digits than its factorization.

12051322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89183 (or 89157 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12051322400 its reverse (422315021), we get a palindrome (12473637421).

The spelling of 12051322400 in words is "twelve billion, fifty-one million, three hundred twenty-two thousand, four hundred".