21324211242312 has 64 divisors (see below), whose sum is σ = 59728748961600. Its totient is φ = 6287236727040.

The previous prime is 21324211242311. The next prime is 21324211242317.

21324211242312 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21324211242312.

It is not an unprimeable number, because it can be changed into a prime (21324211242311) 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 15 ways as a sum of consecutive naturals, for example, 1091524387 + ... + 1091543922.

It is an arithmetic number, because the mean of its divisors is an integer number (933261702525).

Almost surely, 2^{21324211242312} is an apocalyptic number.

21324211242312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21324211242312 is an abundant number, since it is smaller than the sum of its proper divisors (38404537719288).

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

21324211242312 is a wasteful number, since it uses less digits than its factorization.

21324211242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183068366 (or 2183068362 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2132421 and 1242312, that added together give a palindrome (3374733).

The spelling of 21324211242312 in words is "twenty-one trillion, three hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, three hundred twelve".