12212012022000 has 320 divisors, whose sum is σ = 45158514146304. Its totient is φ = 2781237427200.

The previous prime is 12212012021999. The next prime is 12212012022013. The reversal of 12212012022000 is 22021021221.

12212012022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11109159 + ... + 12158841.

Almost surely, 2^{12212012022000} is an apocalyptic number.

12212012022000 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 12212012022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579257073152).

12212012022000 is an abundant number, since it is smaller than the sum of its proper divisors (32946502124304).

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

12212012022000 is a wasteful number, since it uses less digits than its factorization.

12212012022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049993 (or 1049977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212012022000 its reverse (22021021221), we get a palindrome (12234033043221).

The spelling of 12212012022000 in words is "twelve trillion, two hundred twelve billion, twelve million, twenty-two thousand".