12648292020 has 1152 divisors, whose sum is σ = 55057121280. Its totient is φ = 2340264960.

The previous prime is 12648292003. The next prime is 12648292031. The reversal of 12648292020 is 2029284621.

12648292020 is a `hidden beast` number, since 1 + 2 + 648 + 2 + 9 + 2 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 408009405 + ... + 408009435.

It is an arithmetic number, because the mean of its divisors is an integer number (47792640).

Almost surely, 2^12648292020 is an apocalyptic number.

12648292020 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 12648292020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528560640).

12648292020 is an abundant number, since it is smaller than the sum of its proper divisors (42408829260).

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

12648292020 is a wasteful number, since it uses less digits than its factorization.

12648292020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12648292020 in words is "twelve billion, six hundred forty-eight million, two hundred ninety-two thousand, twenty".