1248830835120 has 480 divisors, whose sum is σ = 4902805200384. Its totient is φ = 281502720000.

The previous prime is 1248830835089. The next prime is 1248830835127. The reversal of 1248830835120 is 215380388421.

1248830835120 is a `hidden beast` number, since 1 + 24 + 8 + 8 + 30 + 83 + 512 + 0 = 666.

It is a Cunningham number, because it is equal to 1117511²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1248830835127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11119245 + ... + 11230995.

Almost surely, 2^{1248830835120} is an apocalyptic number.

1248830835120 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 1248830835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451402600192).

1248830835120 is an abundant number, since it is smaller than the sum of its proper divisors (3653974365264).

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

1248830835120 is a wasteful number, since it uses less digits than its factorization.

1248830835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111881 (or 111872 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1248830835120 in words is "one trillion, two hundred forty-eight billion, eight hundred thirty million, eight hundred thirty-five thousand, one hundred twenty".