21330121200000 has 384 divisors, whose sum is σ = 70875391184640. Its totient is φ = 5683434240000.

The previous prime is 21330121199987. The next prime is 21330121200007. The reversal of 21330121200000 is 212103312.

It is a tau number, because it is divible by the number of its divisors (384).

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 (21330121200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640393499 + ... + 1640406501.

It is an arithmetic number, because the mean of its divisors is an integer number (184571331210).

Almost surely, 2^{21330121200000} is an apocalyptic number.

21330121200000 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 21330121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35437695592320).

21330121200000 is an abundant number, since it is smaller than the sum of its proper divisors (49545269984640).

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

21330121200000 is an equidigital number, since it uses as much as digits as its factorization.

21330121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21330121200000 its reverse (212103312), we get a palindrome (21330333303312).

The spelling of 21330121200000 in words is "twenty-one trillion, three hundred thirty billion, one hundred twenty-one million, two hundred thousand".