20330312012340 has 144 divisors (see below), whose sum is σ = 62614754758080. Its totient is φ = 4925060096000.

The previous prime is 20330312012333. The next prime is 20330312012347. The reversal of 20330312012340 is 4321021303302.

It is an interprime number because it is at equal distance from previous prime (20330312012333) and next prime (20330312012347).

It is a super-2 number, since 2×20330312012340² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20330312012340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330312012347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9235615 + ... + 11223065.

It is an arithmetic number, because the mean of its divisors is an integer number (434824685820).

Almost surely, 2^{20330312012340} is an apocalyptic number.

20330312012340 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 20330312012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307377379040).

20330312012340 is an abundant number, since it is smaller than the sum of its proper divisors (42284442745740).

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

20330312012340 is a wasteful number, since it uses less digits than its factorization.

20330312012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988894 (or 1988881 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20330312012340 its reverse (4321021303302), we get a palindrome (24651333315642).

The spelling of 20330312012340 in words is "twenty trillion, three hundred thirty billion, three hundred twelve million, twelve thousand, three hundred forty".