1132443312000 has 3072 divisors, whose sum is σ = 5311298304000. Its totient is φ = 211341312000.

The previous prime is 1132443311957. The next prime is 1132443312029. The reversal of 1132443312000 is 2133442311.

It is a happy number.

It is a super-3 number, since 3×1132443312000³ (a number of 37 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30606575982 + ... + 30606576018.

It is an arithmetic number, because the mean of its divisors is an integer number (1728938250).

Almost surely, 2^{1132443312000} is an apocalyptic number.

1132443312000 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 1132443312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655649152000).

1132443312000 is an abundant number, since it is smaller than the sum of its proper divisors (4178854992000).

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

1132443312000 is a wasteful number, since it uses less digits than its factorization.

1132443312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1132443312000 its reverse (2133442311), we get a palindrome (1134576754311).

The spelling of 1132443312000 in words is "one trillion, one hundred thirty-two billion, four hundred forty-three million, three hundred twelve thousand".