10248711162312 has 256 divisors, whose sum is σ = 31675893350400. Its totient is φ = 2697437168640.

The previous prime is 10248711162301. The next prime is 10248711162323. The reversal of 10248711162312 is 21326111784201.

It is an interprime number because it is at equal distance from previous prime (10248711162301) and next prime (10248711162323).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196380862 + ... + 196433042.

It is an arithmetic number, because the mean of its divisors is an integer number (123733958400).

Almost surely, 2^{10248711162312} is an apocalyptic number.

10248711162312 is a gapful number since it is divisible by the number (12) 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 10248711162312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837946675200).

10248711162312 is an abundant number, since it is smaller than the sum of its proper divisors (21427182188088).

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

10248711162312 is a wasteful number, since it uses less digits than its factorization.

10248711162312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53916 (or 53912 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10248711162312 in words is "ten trillion, two hundred forty-eight billion, seven hundred eleven million, one hundred sixty-two thousand, three hundred twelve".