1252442400000 has 432 divisors, whose sum is σ = 4545245710656. Its totient is φ = 303616000000.

The previous prime is 1252442399951. The next prime is 1252442400029. The reversal of 1252442400000 is 42442521.

It is a happy number.

It is a super-2 number, since 2×1252442400000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26376280 + ... + 26423720.

It is an arithmetic number, because the mean of its divisors is an integer number (10521402108).

Almost surely, 2^{1252442400000} is an apocalyptic number.

1252442400000 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 1252442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272622855328).

1252442400000 is an abundant number, since it is smaller than the sum of its proper divisors (3292803310656).

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

1252442400000 is an frugal number, since it uses more digits than its factorization.

1252442400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47496 (or 47462 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 1252442400000 its reverse (42442521), we get a palindrome (1252484842521).

The spelling of 1252442400000 in words is "one trillion, two hundred fifty-two billion, four hundred forty-two million, four hundred thousand".