1132115252000 has 144 divisors (see below), whose sum is σ = 2800375990776. Its totient is φ = 449810880000.

The previous prime is 1132115251937. The next prime is 1132115252011. The reversal of 1132115252000 is 2525112311.

It can be written as a sum of positive squares in 4 ways, for example, as 231734406544 + 900380845456 = 481388^2 + 948884^2 .

It is a super-2 number, since 2×1132115252000² (a number of 25 digits) contains 22 as substring.

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, 91197794 + ... + 91210206.

Almost surely, 2^{1132115252000} is an apocalyptic number.

1132115252000 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 1132115252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400187995388).

1132115252000 is an abundant number, since it is smaller than the sum of its proper divisors (1668260738776).

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

1132115252000 is an equidigital number, since it uses as much as digits as its factorization.

1132115252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 1132115252000 in words is "one trillion, one hundred thirty-two billion, one hundred fifteen million, two hundred fifty-two thousand".