221241121040 has 20 divisors (see below), whose sum is σ = 514385606604. Its totient is φ = 88496448384.

The previous prime is 221241121039. The next prime is 221241121141. The reversal of 221241121040 is 40121142122.

221241121040 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 2 ways, for example, as 63762310144 + 157478810896 = 252512^2 + 396836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382756927 + ... + 1382757086.

Almost surely, 2^221241121040 is an apocalyptic number.

221241121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221241121040 is an abundant number, since it is smaller than the sum of its proper divisors (293144485564).

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

221241121040 is a wasteful number, since it uses less digits than its factorization.

221241121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765514026 (or 2765514020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221241121040 its reverse (40121142122), we get a palindrome (261362263162).

The spelling of 221241121040 in words is "two hundred twenty-one billion, two hundred forty-one million, one hundred twenty-one thousand, forty".