1149108120 has 224 divisors, whose sum is σ = 3916699920. Its totient is φ = 303264000.

The previous prime is 1149108119. The next prime is 1149108127. The reversal of 1149108120 is 218019411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149108127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4577995 + ... + 4578245.

Almost surely, 2^1149108120 is an apocalyptic number.

1149108120 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 1149108120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958349960).

1149108120 is an abundant number, since it is smaller than the sum of its proper divisors (2767591800).

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

1149108120 is a wasteful number, since it uses less digits than its factorization.

1149108120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1149108120 is about 33898.4973118279. The cubic root of 1149108120 is about 1047.4186386721.

The spelling of 1149108120 in words is "one billion, one hundred forty-nine million, one hundred eight thousand, one hundred twenty".