20144122012240 has 160 divisors (see below), whose sum is σ = 48102740468640. Its totient is φ = 7843073753088.

The previous prime is 20144122012219. The next prime is 20144122012243. The reversal of 20144122012240 is 4221022144102.

It can be written as a sum of positive squares in 16 ways, for example, as 9258583155264 + 10885538856976 = 3042792^2 + 3299324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144122012243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153695856 + ... + 153826864.

It is an arithmetic number, because the mean of its divisors is an integer number (300642127929).

Almost surely, 2^{20144122012240} is an apocalyptic number.

20144122012240 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 20144122012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24051370234320).

20144122012240 is an abundant number, since it is smaller than the sum of its proper divisors (27958618456400).

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

20144122012240 is a wasteful number, since it uses less digits than its factorization.

20144122012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131441 (or 131435 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 20144122012240 its reverse (4221022144102), we get a palindrome (24365144156342).

The spelling of 20144122012240 in words is "twenty trillion, one hundred forty-four billion, one hundred twenty-two million, twelve thousand, two hundred forty".