2248121200 has 120 divisors (see below), whose sum is σ = 6069799008. Its totient is φ = 793943040.

The previous prime is 2248121171. The next prime is 2248121207. The reversal of 2248121200 is 21218422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110202 + ... + 128998.

Almost surely, 2^2248121200 is an apocalyptic number.

2248121200 is a gapful number since it is divisible by the number (20) 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 2248121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034899504).

2248121200 is an abundant number, since it is smaller than the sum of its proper divisors (3821677808).

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

2248121200 is a wasteful number, since it uses less digits than its factorization.

2248121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18851 (or 18840 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2248121200 is about 47414.3564756499. The cubic root of 2248121200 is about 1310.0058659878.

Adding to 2248121200 its reverse (21218422), we get a palindrome (2269339622).

It can be divided in two parts, 22481 and 21200, that added together give a square (43681 = 209²).

The spelling of 2248121200 in words is "two billion, two hundred forty-eight million, one hundred twenty-one thousand, two hundred".