248120712000 has 1792 divisors, whose sum is σ = 1129759488000. Its totient is φ = 53106278400.

The previous prime is 248120711947. The next prime is 248120712061. The reversal of 248120712000 is 217021842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1259495902 + ... + 1259496098.

Almost surely, 2^248120712000 is an apocalyptic number.

248120712000 is a gapful number since it is divisible by the number (20) 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 248120712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564879744000).

248120712000 is an abundant number, since it is smaller than the sum of its proper divisors (881638776000).

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

248120712000 is a wasteful number, since it uses less digits than its factorization.

248120712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 248120712000 its reverse (217021842), we get a palindrome (248337733842).

The spelling of 248120712000 in words is "two hundred forty-eight billion, one hundred twenty million, seven hundred twelve thousand".