12007909087200 has 1440 divisors, whose sum is σ = 48236209560000. Its totient is φ = 2888733818880.

The previous prime is 12007909087177. The next prime is 12007909087201. The reversal of 12007909087200 is 278090970021.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007909087201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20046592501 + ... + 20046593099.

It is an arithmetic number, because the mean of its divisors is an integer number (33497367750).

Almost surely, 2^{12007909087200} is an apocalyptic number.

12007909087200 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 12007909087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24118104780000).

12007909087200 is an abundant number, since it is smaller than the sum of its proper divisors (36228300472800).

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

12007909087200 is a wasteful number, since it uses less digits than its factorization.

12007909087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12007909087200 in words is "twelve trillion, seven billion, nine hundred nine million, eighty-seven thousand, two hundred".