1148287120 has 80 divisors (see below), whose sum is σ = 2791249920. Its totient is φ = 438796800.

The previous prime is 1148287081. The next prime is 1148287141. The reversal of 1148287120 is 217828411.

It is a tau number, because it is divible by the number of its divisors (80).

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, 192990 + ... + 198850.

It is an arithmetic number, because the mean of its divisors is an integer number (34890624).

Almost surely, 2^1148287120 is an apocalyptic number.

1148287120 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 1148287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395624960).

1148287120 is an abundant number, since it is smaller than the sum of its proper divisors (1642962800).

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

1148287120 is a wasteful number, since it uses less digits than its factorization.

1148287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 1148287120 is about 33886.3854667328. The cubic root of 1148287120 is about 1047.1691305054.

The spelling of 1148287120 in words is "one billion, one hundred forty-eight million, two hundred eighty-seven thousand, one hundred twenty".