1148112000 has 768 divisors, whose sum is σ = 5063834880. Its totient is φ = 243302400.

The previous prime is 1148111989. The next prime is 1148112013. The reversal of 1148112000 is 2118411.

1148112000 = 60³ + 61³ + ... + 260³.

It is a super-2 number, since 2×1148112000² = 2636322329088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17135967 + ... + 17136033.

It is an arithmetic number, because the mean of its divisors is an integer number (6593535).

Almost surely, 2^1148112000 is an apocalyptic number.

1148112000 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 1148112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531917440).

1148112000 is an abundant number, since it is smaller than the sum of its proper divisors (3915722880).

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

1148112000 is a wasteful number, since it uses less digits than its factorization.

1148112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1148112000 is about 33883.8014396260. The cubic root of 1148112000 is about 1047.1158948126.

The spelling of 1148112000 in words is "one billion, one hundred forty-eight million, one hundred twelve thousand".