12000729600 has 180 divisors, whose sum is σ = 42947710806. Its totient is φ = 3200163840.

The previous prime is 12000729583. The next prime is 12000729617. The reversal of 12000729600 is 692700021.

It is an interprime number because it is at equal distance from previous prime (12000729583) and next prime (12000729617).

It can be written as a sum of positive squares in 3 ways, for example, as 7606630656 + 4394098944 = 87216^2 + 66288^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63114 + ... + 167286.

Almost surely, 2^12000729600 is an apocalyptic number.

12000729600 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 12000729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473855403).

12000729600 is an abundant number, since it is smaller than the sum of its proper divisors (30946981206).

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

12000729600 is a wasteful number, since it uses less digits than its factorization.

12000729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104207 (or 104183 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12000729600 in words is "twelve billion, seven hundred twenty-nine thousand, six hundred".