221200020120 has 192 divisors, whose sum is σ = 687116597760. Its totient is φ = 56965758720.

The previous prime is 221200020103. The next prime is 221200020121. The reversal of 221200020120 is 21020002122.

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 = 221200020096 and 221200020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200020121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64923457 + ... + 64926863.

It is an arithmetic number, because the mean of its divisors is an integer number (3578732280).

Almost surely, 2^221200020120 is an apocalyptic number.

221200020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221200020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343558298880).

221200020120 is an abundant number, since it is smaller than the sum of its proper divisors (465916577640).

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

221200020120 is a wasteful number, since it uses less digits than its factorization.

221200020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221200020120 its reverse (21020002122), we get a palindrome (242220022242).

The spelling of 221200020120 in words is "two hundred twenty-one billion, two hundred million, twenty thousand, one hundred twenty".