20331717120000 has 4160 divisors, whose sum is σ = 94403820107520. Its totient is φ = 4282122240000.

The previous prime is 20331717119977. The next prime is 20331717120037. The reversal of 20331717120000 is 2171713302.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1195983359992 + ... + 1195983360008.

Almost surely, 2^{20331717120000} is an apocalyptic number.

20331717120000 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 20331717120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47201910053760).

20331717120000 is an abundant number, since it is smaller than the sum of its proper divisors (74072102987520).

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

20331717120000 is an equidigital number, since it uses as much as digits as its factorization.

20331717120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 20331717120000 its reverse (2171713302), we get a palindrome (20333888833302).

The spelling of 20331717120000 in words is "twenty trillion, three hundred thirty-one billion, seven hundred seventeen million, one hundred twenty thousand".