21000012012012 has 192 divisors, whose sum is σ = 57593924881920. Its totient is φ = 5884909977600.

The previous prime is 21000012011999. The next prime is 21000012012037. The reversal of 21000012012012 is 21021021000012.

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

21000012012012 is a modest number, since divided by 12012012 gives 21000 as remainder.

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, 29908812 + ... + 30602892.

It is an arithmetic number, because the mean of its divisors is an integer number (299968358760).

Almost surely, 2^{21000012012012} is an apocalyptic number.

21000012012012 is a gapful number since it is divisible by the number (22) 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 21000012012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28796962440960).

21000012012012 is an abundant number, since it is smaller than the sum of its proper divisors (36593912869908).

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

21000012012012 is a wasteful number, since it uses less digits than its factorization.

21000012012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694352 (or 694350 counting only the distinct ones).

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

Adding to 21000012012012 its reverse (21021021000012), we get a palindrome (42021033012024).

The spelling of 21000012012012 in words is "twenty-one trillion, twelve million, twelve thousand, twelve".