1121120211104 has 96 divisors (see below), whose sum is σ = 2352006720000. Its totient is φ = 524211351552.

The previous prime is 1121120211097. The next prime is 1121120211187. The reversal of 1121120211104 is 4011120211211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224266397 + ... + 224271395.

It is an arithmetic number, because the mean of its divisors is an integer number (24500070000).

Almost surely, 2^{1121120211104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121120211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176003360000).

1121120211104 is an abundant number, since it is smaller than the sum of its proper divisors (1230886508896).

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

1121120211104 is a wasteful number, since it uses less digits than its factorization.

1121120211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1121120211104 its reverse (4011120211211), we get a palindrome (5132240422315).

The spelling of 1121120211104 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, one hundred four".