221201121122320 has 20 divisors (see below), whose sum is σ = 514292606609580. Its totient is φ = 88480448448896.

The previous prime is 221201121122309. The next prime is 221201121122329. The reversal of 221201121122320 is 23221121102122.

It can be written as a sum of positive squares in 2 ways, for example, as 52802952366096 + 168398168756224 = 7266564^2 + 12976832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 221201121122291 and 221201121122300.

It is not an unprimeable number, because it can be changed into a prime (221201121122329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382507006935 + ... + 1382507007094.

It is an arithmetic number, because the mean of its divisors is an integer number (25714630330479).

Almost surely, 2^{221201121122320} is an apocalyptic number.

221201121122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201121122320 is an abundant number, since it is smaller than the sum of its proper divisors (293091485487260).

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

221201121122320 is a wasteful number, since it uses less digits than its factorization.

221201121122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765014014042 (or 2765014014036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221201121122320 its reverse (23221121102122), we get a palindrome (244422242224442).

The spelling of 221201121122320 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".