1248217992 has 128 divisors (see below), whose sum is σ = 3985363200. Its totient is φ = 354585600.

The previous prime is 1248217967. The next prime is 1248218011. The reversal of 1248217992 is 2997128421.

1248217992 is a `hidden beast` number, since 12 + 482 + 1 + 79 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271392 + ... + 275952.

It is an arithmetic number, because the mean of its divisors is an integer number (31135650).

Almost surely, 2^1248217992 is an apocalyptic number.

1248217992 is a gapful number since it is divisible by the number (12) 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 1248217992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992681600).

1248217992 is an abundant number, since it is smaller than the sum of its proper divisors (2737145208).

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

1248217992 is a wasteful number, since it uses less digits than its factorization.

1248217992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4754 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1248217992 is about 35330.1286722820. The cubic root of 1248217992 is about 1076.7052055886.

The spelling of 1248217992 in words is "one billion, two hundred forty-eight million, two hundred seventeen thousand, nine hundred ninety-two".