21112142132240 has 80 divisors (see below), whose sum is σ = 49676394279600. Its totient is φ = 8343676256256.

The previous prime is 21112142132173. The next prime is 21112142132251. The reversal of 21112142132240 is 4223124121112.

It can be written as a sum of positive squares in 8 ways, for example, as 2316934533904 + 18795207598336 = 1522148^2 + 4335344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351185 + ... + 6507504.

It is an arithmetic number, because the mean of its divisors is an integer number (620954928495).

Almost surely, 2^{21112142132240} is an apocalyptic number.

21112142132240 is a gapful number since it is divisible by the number (20) 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 21112142132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838197139800).

21112142132240 is an abundant number, since it is smaller than the sum of its proper divisors (28564252147360).

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

21112142132240 is a wasteful number, since it uses less digits than its factorization.

21112142132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859164 (or 6859158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 21112142132240 its reverse (4223124121112), we get a palindrome (25335266253352).

The spelling of 21112142132240 in words is "twenty-one trillion, one hundred twelve billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred forty".