1252442403200 has 192 divisors, whose sum is σ = 3116570913600. Its totient is φ = 497323376640.

The previous prime is 1252442403181. The next prime is 1252442403209. The reversal of 1252442403200 is 23042442521.

It is a super-2 number, since 2×1252442403200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252442403209) 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, 268935272 + ... + 268939928.

It is an arithmetic number, because the mean of its divisors is an integer number (16232140175).

Almost surely, 2^{1252442403200} is an apocalyptic number.

1252442403200 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 1252442403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558285456800).

1252442403200 is an abundant number, since it is smaller than the sum of its proper divisors (1864128510400).

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

1252442403200 is a wasteful number, since it uses less digits than its factorization.

1252442403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1252442403200 its reverse (23042442521), we get a palindrome (1275484845721).

The spelling of 1252442403200 in words is "one trillion, two hundred fifty-two billion, four hundred forty-two million, four hundred three thousand, two hundred".