21330142252000 has 384 divisors, whose sum is σ = 54323170836480. Its totient is φ = 8225763840000.

The previous prime is 21330142251949. The next prime is 21330142252039. The reversal of 21330142252000 is 25224103312.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 63 ways as a sum of consecutive naturals, for example, 5644386111 + ... + 5644389889.

It is an arithmetic number, because the mean of its divisors is an integer number (141466590720).

Almost surely, 2^{21330142252000} is an apocalyptic number.

21330142252000 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 21330142252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27161585418240).

21330142252000 is an abundant number, since it is smaller than the sum of its proper divisors (32993028584480).

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

21330142252000 is a wasteful number, since it uses less digits than its factorization.

21330142252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21330142252000 its reverse (25224103312), we get a palindrome (21355366355312).

The spelling of 21330142252000 in words is "twenty-one trillion, three hundred thirty billion, one hundred forty-two million, two hundred fifty-two thousand".