1121004144 has 320 divisors, whose sum is σ = 3679764480. Its totient is φ = 324311040.

The previous prime is 1121004127. The next prime is 1121004169. The reversal of 1121004144 is 4414001211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182444 + ... + 8182580.

It is an arithmetic number, because the mean of its divisors is an integer number (11499264).

Almost surely, 2^1121004144 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 1121004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839882240).

1121004144 is an abundant number, since it is smaller than the sum of its proper divisors (2558760336).

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

1121004144 is a wasteful number, since it uses less digits than its factorization.

1121004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1121004144 is about 33481.3999707300. The cubic root of 1121004144 is about 1038.8090855103.

Adding to 1121004144 its reverse (4414001211), we get a palindrome (5535005355).

The spelling of 1121004144 in words is "one billion, one hundred twenty-one million, four thousand, one hundred forty-four".