12009536400 has 240 divisors, whose sum is σ = 40279707648. Its totient is φ = 3054912000.

The previous prime is 12009536351. The next prime is 12009536419. The reversal of 12009536400 is 463590021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2638927 + ... + 2643473.

Almost surely, 2^12009536400 is an apocalyptic number.

12009536400 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 12009536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139853824).

12009536400 is an abundant number, since it is smaller than the sum of its proper divisors (28270171248).

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

12009536400 is a wasteful number, since it uses less digits than its factorization.

12009536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12009536400 in words is "twelve billion, nine million, five hundred thirty-six thousand, four hundred".