21210012120000 has 1120 divisors, whose sum is σ = 80628385457664. Its totient is φ = 4868864000000.

The previous prime is 21210012119993. The next prime is 21210012120029. The reversal of 21210012120000 is 2121001212.

It is a super-2 number, since 2×21210012120000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3066356542 + ... + 3066363458.

Almost surely, 2^{21210012120000} is an apocalyptic number.

21210012120000 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 21210012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40314192728832).

21210012120000 is an abundant number, since it is smaller than the sum of its proper divisors (59418373337664).

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

21210012120000 is a wasteful number, since it uses less digits than its factorization.

21210012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7062 counting only the distinct ones).

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

Adding to 21210012120000 its reverse (2121001212), we get a palindrome (21212133121212).

21210012120000 divided by its reverse (2121001212) gives a 4-th power (10000 = 10⁴).

The spelling of 21210012120000 in words is "twenty-one trillion, two hundred ten billion, twelve million, one hundred twenty thousand".