12648121920 has 448 divisors, whose sum is σ = 51346851840. Its totient is φ = 2871023616.

The previous prime is 12648121891. The next prime is 12648121933. The reversal of 12648121920 is 2912184621.

12648121920 is a `hidden beast` number, since 1 + 2 + 648 + 1 + 2 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 9857599 + ... + 9858881.

Almost surely, 2^12648121920 is an apocalyptic number.

12648121920 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 12648121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25673425920).

12648121920 is an abundant number, since it is smaller than the sum of its proper divisors (38698729920).

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

12648121920 is a wasteful number, since it uses less digits than its factorization.

12648121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12648121920 in words is "twelve billion, six hundred forty-eight million, one hundred twenty-one thousand, nine hundred twenty".