12104030029824 has 1152 divisors, whose sum is σ = 40578357456000. Its totient is φ = 3587767271424.

The previous prime is 12104030029813. The next prime is 12104030029829. The reversal of 12104030029824 is 42892003040121.

12104030029824 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 40 + 300 + 298 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (12104030029829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10145875372 + ... + 10145876564.

It is an arithmetic number, because the mean of its divisors is an integer number (35224268625).

Almost surely, 2^{12104030029824} 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 12104030029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20289178728000).

12104030029824 is an abundant number, since it is smaller than the sum of its proper divisors (28474327426176).

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

12104030029824 is a wasteful number, since it uses less digits than its factorization.

12104030029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1283 counting only the distinct ones).

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

Adding to 12104030029824 its reverse (42892003040121), we get a palindrome (54996033069945).

The spelling of 12104030029824 in words is "twelve trillion, one hundred four billion, thirty million, twenty-nine thousand, eight hundred twenty-four".