1121493984 has 192 divisors, whose sum is σ = 3353011200. Its totient is φ = 325619712.

The previous prime is 1121493979. The next prime is 1121494009. The reversal of 1121493984 is 4893941211.

It is a super-2 number, since 2×1121493984² = 2515497512296384512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554437 + ... + 2554875.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 2^1121493984 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 1121493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

1121493984 is an abundant number, since it is smaller than the sum of its proper divisors (2231517216).

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

1121493984 is a wasteful number, since it uses less digits than its factorization.

1121493984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 1121493984 is about 33488.7142780967. The cubic root of 1121493984 is about 1038.9603713453.

The spelling of 1121493984 in words is "one billion, one hundred twenty-one million, four hundred ninety-three thousand, nine hundred eighty-four".