12021072000 has 768 divisors, whose sum is σ = 48977136000. Its totient is φ = 2593382400.

The previous prime is 12021071947. The next prime is 12021072001. The reversal of 12021072000 is 27012021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021072001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44687866 + ... + 44688134.

Almost surely, 2^12021072000 is an apocalyptic number.

12021072000 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 12021072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24488568000).

12021072000 is an abundant number, since it is smaller than the sum of its proper divisors (36956064000).

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

12021072000 is a wasteful number, since it uses less digits than its factorization.

12021072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 12021072000 its reverse (27012021), we get a palindrome (12048084021).

The spelling of 12021072000 in words is "twelve billion, twenty-one million, seventy-two thousand".