12009772000 has 192 divisors, whose sum is σ = 31791771648. Its totient is φ = 4445760000.

The previous prime is 12009771973. The next prime is 12009772003. The reversal of 12009772000 is 27790021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12009772000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009772003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849895 + ... + 2854105.

It is an arithmetic number, because the mean of its divisors is an integer number (165582144).

Almost surely, 2^12009772000 is an apocalyptic number.

12009772000 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 12009772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895885824).

12009772000 is an abundant number, since it is smaller than the sum of its proper divisors (19781999648).

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

12009772000 is a wasteful number, since it uses less digits than its factorization.

12009772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 12009772000 in words is "twelve billion, nine million, seven hundred seventy-two thousand".