221001120120 has 128 divisors (see below), whose sum is σ = 748217088000. Its totient is φ = 51728570880.

The previous prime is 221001120097. The next prime is 221001120169. The reversal of 221001120120 is 21021100122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221001120096 and 221001120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848360 + ... + 2924919.

It is an arithmetic number, because the mean of its divisors is an integer number (5845446000).

Almost surely, 2^221001120120 is an apocalyptic number.

221001120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001120120 is an abundant number, since it is smaller than the sum of its proper divisors (527215967880).

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

221001120120 is a wasteful number, since it uses less digits than its factorization.

221001120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773333 (or 5773329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001120120 its reverse (21021100122), we get a palindrome (242022220242).

The spelling of 221001120120 in words is "two hundred twenty-one billion, one million, one hundred twenty thousand, one hundred twenty".