1120331002000 has 240 divisors, whose sum is σ = 3202916361840. Its totient is φ = 377814528000.

The previous prime is 1120331001983. The next prime is 1120331002003. The reversal of 1120331002000 is 2001330211.

It can be written as a sum of positive squares in 8 ways, for example, as 427234791424 + 693096210576 = 653632^2 + 832524^2 .

It is not an unprimeable number, because it can be changed into a prime (1120331002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5884296 + ... + 6071704.

It is an arithmetic number, because the mean of its divisors is an integer number (13345484841).

Almost surely, 2^{1120331002000} is an apocalyptic number.

1120331002000 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 1120331002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601458180920).

1120331002000 is an abundant number, since it is smaller than the sum of its proper divisors (2082585359840).

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

1120331002000 is a wasteful number, since it uses less digits than its factorization.

1120331002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187507 (or 187484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1120331002000 its reverse (2001330211), we get a palindrome (1122332332211).

The spelling of 1120331002000 in words is "one trillion, one hundred twenty billion, three hundred thirty-one million, two thousand".