1149933120 has 224 divisors, whose sum is σ = 4197559296. Its totient is φ = 261273600.

The previous prime is 1149933089. The next prime is 1149933137. The reversal of 1149933120 is 213399411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417515 + ... + 1418325.

It is an arithmetic number, because the mean of its divisors is an integer number (18739104).

Almost surely, 2^1149933120 is an apocalyptic number.

1149933120 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 1149933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098779648).

1149933120 is an abundant number, since it is smaller than the sum of its proper divisors (3047626176).

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

1149933120 is a wasteful number, since it uses less digits than its factorization.

1149933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1149933120 is about 33910.6638094862. The cubic root of 1149933120 is about 1047.6692427845.

The spelling of 1149933120 in words is "one billion, one hundred forty-nine million, nine hundred thirty-three thousand, one hundred twenty".