221120480072 has 60 divisors (see below), whose sum is σ = 430911651225. Its totient is φ = 106375319520.

The previous prime is 221120480069. The next prime is 221120480107. The reversal of 221120480072 is 270084021122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 173950721476 + 47169758596 = 417074^2 + 217186^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332506.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1278152978 + ... + 1278153150.

Almost surely, 2^221120480072 is an apocalyptic number.

It is an amenable number.

221120480072 is a deficient number, since it is larger than the sum of its proper divisors (209791171153).

221120480072 is an frugal number, since it uses more digits than its factorization.

221120480072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 221120480072 in words is "two hundred twenty-one billion, one hundred twenty million, four hundred eighty thousand, seventy-two".