12023832300480 has 4704 divisors, whose sum is σ = 60344593096704. Its totient is φ = 2217093120000.

The previous prime is 12023832300433. The next prime is 12023832300497. The reversal of 12023832300480 is 8400323832021.

12023832300480 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 383 + 230 + 0 + 48 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 79628028405 + ... + 79628028555.

It is an arithmetic number, because the mean of its divisors is an integer number (12828357376).

Almost surely, 2^{12023832300480} is an apocalyptic number.

12023832300480 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 12023832300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172296548352).

12023832300480 is an abundant number, since it is smaller than the sum of its proper divisors (48320760796224).

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

12023832300480 is a wasteful number, since it uses less digits than its factorization.

12023832300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12023832300480 in words is "twelve trillion, twenty-three billion, eight hundred thirty-two million, three hundred thousand, four hundred eighty".