1248267840000 has 400 divisors, whose sum is σ = 4399997899968. Its totient is φ = 313286656000.

The previous prime is 1248267839999. The next prime is 1248267840019. The reversal of 1248267840000 is 487628421.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16281757 + ... + 16358243.

Almost surely, 2^{1248267840000} is an apocalyptic number.

1248267840000 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 1248267840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199998949984).

1248267840000 is an abundant number, since it is smaller than the sum of its proper divisors (3151730059968).

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

1248267840000 is an frugal number, since it uses more digits than its factorization.

1248267840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76545 (or 76514 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 1248267840000 in words is "one trillion, two hundred forty-eight billion, two hundred sixty-seven million, eight hundred forty thousand".