1252450144000 has 288 divisors, whose sum is σ = 3521042965440. Its totient is φ = 439728128000.

The previous prime is 1252450143947. The next prime is 1252450144007. The reversal of 1252450144000 is 4410542521.

It is a self number, because there is not a number n which added to its sum of digits gives 1252450144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252450144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10146654 + ... + 10269346.

It is an arithmetic number, because the mean of its divisors is an integer number (12225843630).

Almost surely, 2^{1252450144000} is an apocalyptic number.

1252450144000 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 1252450144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760521482720).

1252450144000 is an abundant number, since it is smaller than the sum of its proper divisors (2268592821440).

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

1252450144000 is a wasteful number, since it uses less digits than its factorization.

1252450144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122764 (or 122740 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 1252450144000 its reverse (4410542521), we get a palindrome (1256860686521).

The spelling of 1252450144000 in words is "one trillion, two hundred fifty-two billion, four hundred fifty million, one hundred forty-four thousand".