12004800901632 has 1440 divisors, whose sum is σ = 45787663152000. Its totient is φ = 3094052290560.

The previous prime is 12004800901523. The next prime is 12004800901637. The reversal of 12004800901632 is 23610900840021.

12004800901632 is a `hidden beast` number, since 12 + 0 + 0 + 4 + 8 + 0 + 0 + 9 + 0 + 1 + 632 = 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 (12004800901637) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 12212411413 + ... + 12212412395.

It is an arithmetic number, because the mean of its divisors is an integer number (31796988300).

Almost surely, 2^{12004800901632} is an apocalyptic number.

12004800901632 is a gapful number since it is divisible by the number (12) 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 12004800901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22893831576000).

12004800901632 is an abundant number, since it is smaller than the sum of its proper divisors (33782862250368).

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

12004800901632 is a wasteful number, since it uses less digits than its factorization.

12004800901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12004800901632 in words is "twelve trillion, four billion, eight hundred million, nine hundred one thousand, six hundred thirty-two".