12009329049600 has 1260 divisors, whose sum is σ = 45901938726784. Its totient is φ = 3113067479040.

The previous prime is 12009329049583. The next prime is 12009329049623. The reversal of 12009329049600 is 694092390021.

It is a happy number.

12009329049600 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 9 + 32 + 9 + 0 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11048140257 + ... + 11048141343.

Almost surely, 2^{12009329049600} is an apocalyptic number.

12009329049600 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 12009329049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950969363392).

12009329049600 is an abundant number, since it is smaller than the sum of its proper divisors (33892609677184).

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

12009329049600 is an frugal number, since it uses more digits than its factorization.

12009329049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12009329049600 in words is "twelve trillion, nine billion, three hundred twenty-nine million, forty-nine thousand, six hundred".