1135144251200 has 168 divisors, whose sum is σ = 2848205453184. Its totient is φ = 445181184000.

The previous prime is 1135144251193. The next prime is 1135144251257. The reversal of 1135144251200 is 21524415311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20533997 + ... + 20589203.

It is an arithmetic number, because the mean of its divisors is an integer number (16953603888).

Almost surely, 2^{1135144251200} is an apocalyptic number.

1135144251200 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 1135144251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424102726592).

1135144251200 is an abundant number, since it is smaller than the sum of its proper divisors (1713061201984).

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

1135144251200 is a wasteful number, since it uses less digits than its factorization.

1135144251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55481 (or 55466 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 1135144251200 its reverse (21524415311), we get a palindrome (1156668666511).

The spelling of 1135144251200 in words is "one trillion, one hundred thirty-five billion, one hundred forty-four million, two hundred fifty-one thousand, two hundred".