221000120 has 64 divisors (see below), whose sum is σ = 547935840. Its totient is φ = 79552000.

The previous prime is 221000107. The next prime is 221000137. The reversal of 221000120 is 21000122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 221000098 and 221000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41954 + ... + 46926.

Almost surely, 2^221000120 is an apocalyptic number.

221000120 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 221000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273967920).

221000120 is an abundant number, since it is smaller than the sum of its proper divisors (326935720).

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

221000120 is a wasteful number, since it uses less digits than its factorization.

221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 221000120 is about 14866.0727833547. The cubic root of 221000120 is about 604.5944690301.

Adding to 221000120 its reverse (21000122), we get a palindrome (242000242).

The spelling of 221000120 in words is "two hundred twenty-one million, one hundred twenty", and thus it is an aban number.