12452153200 has 120 divisors (see below), whose sum is σ = 31753315872. Its totient is φ = 4676444160.

The previous prime is 12452153159. The next prime is 12452153201. The reversal of 12452153200 is 235125421.

12452153200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12452153200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12452153201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3105597 + ... + 3109603.

Almost surely, 2^12452153200 is an apocalyptic number.

12452153200 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 12452153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876657936).

12452153200 is an abundant number, since it is smaller than the sum of its proper divisors (19301162672).

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

12452153200 is a wasteful number, since it uses less digits than its factorization.

12452153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12452153200 its reverse (235125421), we get a palindrome (12687278621).

The spelling of 12452153200 in words is "twelve billion, four hundred fifty-two million, one hundred fifty-three thousand, two hundred".