21128644682112 has 128 divisors (see below), whose sum is σ = 61487821249920. Its totient is φ = 6375140249600.

The previous prime is 21128644682111. The next prime is 21128644682137.

21128644682112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21128644682112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21128644682111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9749814 + ... + 11718197.

It is an arithmetic number, because the mean of its divisors is an integer number (480373603515).

Almost surely, 2^{21128644682112} is an apocalyptic number.

21128644682112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21128644682112 is an abundant number, since it is smaller than the sum of its proper divisors (40359176567808).

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

21128644682112 is a wasteful number, since it uses less digits than its factorization.

21128644682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21468272 (or 21468260 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

It can be divided in two parts, 2112864 and 4682112, that added together give a palindrome (6794976).

The spelling of 21128644682112 in words is "twenty-one trillion, one hundred twenty-eight billion, six hundred forty-four million, six hundred eighty-two thousand, one hundred twelve".