21001212012000 has 1536 divisors, whose sum is σ = 81908646543360. Its totient is φ = 4647352320000.

The previous prime is 21001212011993. The next prime is 21001212012071. The reversal of 21001212012000 is 21021210012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24335123569 + ... + 24335124431.

It is an arithmetic number, because the mean of its divisors is an integer number (53325941760).

Almost surely, 2^{21001212012000} is an apocalyptic number.

21001212012000 is a gapful number since it is divisible by the number (20) 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 21001212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40954323271680).

21001212012000 is an abundant number, since it is smaller than the sum of its proper divisors (60907434531360).

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

21001212012000 is a wasteful number, since it uses less digits than its factorization.

21001212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21001212012000 its reverse (21021210012), we get a palindrome (21022233222012).

The spelling of 21001212012000 in words is "twenty-one trillion, one billion, two hundred twelve million, twelve thousand".