221071271920 has 40 divisors (see below), whose sum is σ = 514012351104. Its totient is φ = 88424785152.

The previous prime is 221071271893. The next prime is 221071271923. The reversal of 221071271920 is 29172170122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221071271923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2618202 + ... + 2701318.

Almost surely, 2^221071271920 is an apocalyptic number.

221071271920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221071271920 is an abundant number, since it is smaller than the sum of its proper divisors (292941079184).

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

221071271920 is a wasteful number, since it uses less digits than its factorization.

221071271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116377 (or 116371 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 221071271920 in words is "two hundred twenty-one billion, seventy-one million, two hundred seventy-one thousand, nine hundred twenty".