21124200242112 has 112 divisors (see below), whose sum is σ = 61830886166784. Its totient is φ = 6311113984000.

The previous prime is 21124200242081. The next prime is 21124200242129.

21124200242112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70286589 + ... + 70586492.

It is an arithmetic number, because the mean of its divisors is an integer number (552061483632).

Almost surely, 2^{21124200242112} is an apocalyptic number.

21124200242112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21124200242112 is an abundant number, since it is smaller than the sum of its proper divisors (40706685924672).

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

21124200242112 is a wasteful number, since it uses less digits than its factorization.

21124200242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140873178 (or 140873168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 21124200 and 242112, that added together give a palindrome (21366312).

The spelling of 21124200242112 in words is "twenty-one trillion, one hundred twenty-four billion, two hundred million, two hundred forty-two thousand, one hundred twelve".