6543500121312 has 384 divisors, whose sum is σ = 21799052771328. Its totient is φ = 1669221734400.

The previous prime is 6543500121311. The next prime is 6543500121329. The reversal of 6543500121312 is 2131210053456.

It is a super-2 number, since 2×6543500121312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543500121311) 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 63 ways as a sum of consecutive naturals, for example, 307962273 + ... + 307983519.

It is an arithmetic number, because the mean of its divisors is an integer number (56768366592).

Almost surely, 2^{6543500121312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6543500121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899526385664).

6543500121312 is an abundant number, since it is smaller than the sum of its proper divisors (15255552650016).

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

6543500121312 is a wasteful number, since it uses less digits than its factorization.

6543500121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22022 (or 22014 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 6543500121312 its reverse (2131210053456), we get a palindrome (8674710174768).

The spelling of 6543500121312 in words is "six trillion, five hundred forty-three billion, five hundred million, one hundred twenty-one thousand, three hundred twelve".