2241121432420 has 48 divisors (see below), whose sum is σ = 5068626338160. Its totient is φ = 827451150336.

The previous prime is 2241121432379. The next prime is 2241121432421. The reversal of 2241121432420 is 242341211422.

2241121432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 125440638976 + 2115680793444 = 354176^2 + 1454538^2 .

It is not an unprimeable number, because it can be changed into a prime (2241121432421) 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, 5505004 + ... + 5898076.

It is an arithmetic number, because the mean of its divisors is an integer number (105596382045).

Almost surely, 2^{2241121432420} is an apocalyptic number.

2241121432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241121432420 is an abundant number, since it is smaller than the sum of its proper divisors (2827504905740).

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

2241121432420 is a wasteful number, since it uses less digits than its factorization.

2241121432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415024 (or 415022 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2241121432420 its reverse (242341211422), we get a palindrome (2483462643842).

The spelling of 2241121432420 in words is "two trillion, two hundred forty-one billion, one hundred twenty-one million, four hundred thirty-two thousand, four hundred twenty".