21324144142312 has 64 divisors (see below), whose sum is σ = 46251526616640. Its totient is φ = 9109152998400.

The previous prime is 21324144142229. The next prime is 21324144142319.

21324144142312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (21324144142319) 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, 9514614 + ... + 11540197.

It is an arithmetic number, because the mean of its divisors is an integer number (722680103385).

Almost surely, 2^{21324144142312} is an apocalyptic number.

21324144142312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21324144142312 is an abundant number, since it is smaller than the sum of its proper divisors (24927382474328).

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

21324144142312 is a wasteful number, since it uses less digits than its factorization.

21324144142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055522 (or 21055518 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2132414 and 4142312, that added together give a palindrome (6274726).

The spelling of 21324144142312 in words is "twenty-one trillion, three hundred twenty-four billion, one hundred forty-four million, one hundred forty-two thousand, three hundred twelve".