20333121132000 has 768 divisors, whose sum is σ = 69666550087680. Its totient is φ = 5177862144000.

The previous prime is 20333121131933. The next prime is 20333121132007. The reversal of 20333121132000 is 23112133302.

It is a super-2 number, since 2×20333121132000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20333121132007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 21700235532 + ... + 21700236468.

It is an arithmetic number, because the mean of its divisors is an integer number (90711653760).

Almost surely, 2^{20333121132000} is an apocalyptic number.

20333121132000 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 20333121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34833275043840).

20333121132000 is an abundant number, since it is smaller than the sum of its proper divisors (49333428955680).

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

20333121132000 is a wasteful number, since it uses less digits than its factorization.

20333121132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20333121132000 its reverse (23112133302), we get a palindrome (20356233265302).

The spelling of 20333121132000 in words is "twenty trillion, three hundred thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand".