1152120332000 has 384 divisors, whose sum is σ = 3219664121856. Its totient is φ = 401376000000.

The previous prime is 1152120331979. The next prime is 1152120332003. The reversal of 1152120332000 is 2330212511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152120332003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137759819 + ... + 137768181.

It is an arithmetic number, because the mean of its divisors is an integer number (8384541984).

Almost surely, 2^{1152120332000} is an apocalyptic number.

1152120332000 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 1152120332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609832060928).

1152120332000 is an abundant number, since it is smaller than the sum of its proper divisors (2067543789856).

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

1152120332000 is a wasteful number, since it uses less digits than its factorization.

1152120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1152120332000 its reverse (2330212511), we get a palindrome (1154450544511).

The spelling of 1152120332000 in words is "one trillion, one hundred fifty-two billion, one hundred twenty million, three hundred thirty-two thousand".