1121031112000 has 112 divisors (see below), whose sum is σ = 2777831089488. Its totient is φ = 448154419200.

The previous prime is 1121031111971. The next prime is 1121031112001. The reversal of 1121031112000 is 2111301211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 495514629184 + 625516482816 = 703928^2 + 790896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121031112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14176572 + ... + 14255428.

It is an arithmetic number, because the mean of its divisors is an integer number (24802063299).

Almost surely, 2^{1121031112000} is an apocalyptic number.

1121031112000 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 1121031112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388915544744).

1121031112000 is an abundant number, since it is smaller than the sum of its proper divisors (1656799977488).

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

1121031112000 is an equidigital number, since it uses as much as digits as its factorization.

1121031112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80661 (or 80641 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1121031112000 its reverse (2111301211), we get a palindrome (1123142413211).

The spelling of 1121031112000 in words is "one trillion, one hundred twenty-one billion, thirty-one million, one hundred twelve thousand".