221221021120120 has 128 divisors (see below), whose sum is σ = 618594870360960. Its totient is φ = 69456266035200.

The previous prime is 221221021120117. The next prime is 221221021120129. The reversal of 221221021120120 is 21021120122122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221021120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627864481 + ... + 628216720.

It is an arithmetic number, because the mean of its divisors is an integer number (4832772424695).

Almost surely, 2^{221221021120120} is an apocalyptic number.

221221021120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221021120120 is an abundant number, since it is smaller than the sum of its proper divisors (397373849240840).

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

221221021120120 is a wasteful number, since it uses less digits than its factorization.

221221021120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256081273 (or 1256081269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221221021120120 its reverse (21021120122122), we get a palindrome (242242141242242).

The spelling of 221221021120120 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty thousand, one hundred twenty".