21142411424112 has 320 divisors, whose sum is σ = 62509934822400. Its totient is φ = 6100564377600.

The previous prime is 21142411424081. The next prime is 21142411424117.

It is a happy number.

21142411424112 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 21142411424112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142411424117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237102928 + ... + 237192080.

It is an arithmetic number, because the mean of its divisors is an integer number (195343546320).

Almost surely, 2^{21142411424112} is an apocalyptic number.

21142411424112 is a gapful number since it is divisible by the number (22) 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 21142411424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254967411200).

21142411424112 is an abundant number, since it is smaller than the sum of its proper divisors (41367523398288).

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

21142411424112 is a wasteful number, since it uses less digits than its factorization.

21142411424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89472 (or 89466 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 2114241 and 1424112, that added together give a palindrome (3538353).

The spelling of 21142411424112 in words is "twenty-one trillion, one hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, one hundred twelve".