12253224400 has 30 divisors (see below), whose sum is σ = 29438372582. Its totient is φ = 4901289600.

The previous prime is 12253224349. The next prime is 12253224409. The reversal of 12253224400 is 442235221.

It can be written as a sum of positive squares in 3 ways, for example, as 63297936 + 12189926464 = 7956^2 + 110408^2 .

It is a super-3 number, since 3×12253224400³ (a number of 31 digits) contains 333 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 (12253224409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15316131 + ... + 15316930.

Almost surely, 2^12253224400 is an apocalyptic number.

12253224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12253224400 is an abundant number, since it is smaller than the sum of its proper divisors (17185148182).

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

12253224400 is a wasteful number, since it uses less digits than its factorization.

12253224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633079 (or 30633068 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12253224400 its reverse (442235221), we get a palindrome (12695459621).

The spelling of 12253224400 in words is "twelve billion, two hundred fifty-three million, two hundred twenty-four thousand, four hundred".