248912238120 has 384 divisors, whose sum is σ = 978479274240. Its totient is φ = 49427988480.

The previous prime is 248912238079. The next prime is 248912238131. The reversal of 248912238120 is 21832219842.

248912238120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248912238120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2361750 + ... + 2464890.

It is an arithmetic number, because the mean of its divisors is an integer number (2548123110).

Almost surely, 2^248912238120 is an apocalyptic number.

248912238120 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 248912238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489239637120).

248912238120 is an abundant number, since it is smaller than the sum of its proper divisors (729567036120).

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

248912238120 is a wasteful number, since it uses less digits than its factorization.

248912238120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103205 (or 103188 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 248912238120 in words is "two hundred forty-eight billion, nine hundred twelve million, two hundred thirty-eight thousand, one hundred twenty".