1248960000 has 200 divisors, whose sum is σ = 4160999304. Its totient is φ = 332800000.

The previous prime is 1248959981. The next prime is 1248960001. The reversal of 1248960000 is 698421.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1248960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248960001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959350 + ... + 960650.

Almost surely, 2^1248960000 is an apocalyptic number.

1248960000 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 1248960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080499652).

1248960000 is an abundant number, since it is smaller than the sum of its proper divisors (2912039304).

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

1248960000 is an frugal number, since it uses more digits than its factorization.

1248960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1248960000 is about 35340.6281777786. The cubic root of 1248960000 is about 1076.9185138478.

The spelling of 1248960000 in words is "one billion, two hundred forty-eight million, nine hundred sixty thousand".