1149125120 has 320 divisors, whose sum is σ = 3357535104. Its totient is φ = 371589120.

The previous prime is 1149125119. The next prime is 1149125161. The reversal of 1149125120 is 215219411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1149125120.

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, 15741404 + ... + 15741476.

Almost surely, 2^1149125120 is an apocalyptic number.

1149125120 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 1149125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678767552).

1149125120 is an abundant number, since it is smaller than the sum of its proper divisors (2208409984).

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

1149125120 is a wasteful number, since it uses less digits than its factorization.

1149125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 1149125120 is about 33898.7480594785. The cubic root of 1149125120 is about 1047.4238038457.

The spelling of 1149125120 in words is "one billion, one hundred forty-nine million, one hundred twenty-five thousand, one hundred twenty".