1248000000 has 336 divisors, whose sum is σ = 4478848920. Its totient is φ = 307200000.

The previous prime is 1247999989. The next prime is 1248000023. The reversal of 1248000000 is 8421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95999994 + ... + 96000006.

Almost surely, 2^1248000000 is an apocalyptic number.

1248000000 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 1248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239424460).

1248000000 is an abundant number, since it is smaller than the sum of its proper divisors (3230848920).

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

1248000000 is an frugal number, since it uses more digits than its factorization.

1248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1248000000 is about 35327.0434653114. The cubic root of 1248000000 is about 1076.6425224175.

Adding to 1248000000 its reverse (8421), we get a palindrome (1248008421).

It can be divided in two parts, 12 and 48000000, that multiplied together give a square (576000000 = 24000²).

The spelling of 1248000000 in words is "one billion, two hundred forty-eight million", and thus it is an aban number.