1141122304 has 144 divisors (see below), whose sum is σ = 2719664640. Its totient is φ = 467712000.

The previous prime is 1141122293. The next prime is 1141122319. The reversal of 1141122304 is 4032211411.

It is a super-2 number, since 2×1141122304² = 2604320225372536832, which contains 22 as substring.

It is a congruent number.

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, 4546179 + ... + 4546429.

It is an arithmetic number, because the mean of its divisors is an integer number (18886560).

Almost surely, 2^1141122304 is an apocalyptic number.

1141122304 is a gapful number since it is divisible by the number (14) 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 1141122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359832320).

1141122304 is an abundant number, since it is smaller than the sum of its proper divisors (1578542336).

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

1141122304 is an equidigital number, since it uses as much as digits as its factorization.

1141122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1141122304 is about 33780.5018316780. The cubic root of 1141122304 is about 1044.9866237614.

Adding to 1141122304 its reverse (4032211411), we get a palindrome (5173333715).

The spelling of 1141122304 in words is "one billion, one hundred forty-one million, one hundred twenty-two thousand, three hundred four".