12820162248 has 80 divisors (see below), whose sum is σ = 36017411760. Its totient is φ = 4260405600.

The previous prime is 12820162241. The next prime is 12820162249. The reversal of 12820162248 is 84226102821.

12820162248 is a `hidden beast` number, since 1 + 2 + 8 + 20 + 1 + 622 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12820162241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184603 + ... + 244373.

It is an arithmetic number, because the mean of its divisors is an integer number (450217647).

Almost surely, 2^12820162248 is an apocalyptic number.

12820162248 is a gapful number since it is divisible by the number (18) 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 12820162248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008705880).

12820162248 is an abundant number, since it is smaller than the sum of its proper divisors (23197249512).

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

12820162248 is a wasteful number, since it uses less digits than its factorization.

12820162248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60120 (or 60107 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12820162248 in words is "twelve billion, eight hundred twenty million, one hundred sixty-two thousand, two hundred forty-eight".