12248617728 has 144 divisors (see below), whose sum is σ = 33068649600. Its totient is φ = 4024565760.

The previous prime is 12248617727. The next prime is 12248617817. The reversal of 12248617728 is 82771684221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12248617721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19108288 + ... + 19108928.

It is an arithmetic number, because the mean of its divisors is an integer number (229643400).

Almost surely, 2^12248617728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12248617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534324800).

12248617728 is an abundant number, since it is smaller than the sum of its proper divisors (20820031872).

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

12248617728 is a wasteful number, since it uses less digits than its factorization.

12248617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The spelling of 12248617728 in words is "twelve billion, two hundred forty-eight million, six hundred seventeen thousand, seven hundred twenty-eight".