84212000021248 has 108 divisors (see below), whose sum is σ = 185174119038888. Its totient is φ = 37906535546880.

The previous prime is 84212000021159. The next prime is 84212000021249.

84212000021248 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (84212000021249) 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 11 ways as a sum of consecutive naturals, for example, 28465536 + ... + 31284352.

It is an arithmetic number, because the mean of its divisors is an integer number (1714575176286).

Almost surely, 2^{84212000021248} is an apocalyptic number.

84212000021248 is a gapful number since it is divisible by the number (88) 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 84212000021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92587059519444).

84212000021248 is an abundant number, since it is smaller than the sum of its proper divisors (100962119017640).

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

84212000021248 is a wasteful number, since it uses less digits than its factorization.

84212000021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819050 (or 2818933 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 842120000 and 21248, that added together give a palindrome (842141248).

The spelling of 84212000021248 in words is "eighty-four trillion, two hundred twelve billion, twenty-one thousand, two hundred forty-eight".