200221120 has 84 divisors (see below), whose sum is σ = 524161512. Its totient is φ = 72793600.

The previous prime is 200221117. The next prime is 200221123. The reversal of 200221120 is 21122002.

200221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200221117) and next prime (200221123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200221097 and 200221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36135 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (6240018).

Almost surely, 2^200221120 is an apocalyptic number.

200221120 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 200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080756).

200221120 is an abundant number, since it is smaller than the sum of its proper divisors (323940392).

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

200221120 is a wasteful number, since it uses less digits than its factorization.

200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200221120 is about 14149.9512366651. The cubic root of 200221120 is about 585.0189878659.

Adding to 200221120 its reverse (21122002), we get a palindrome (221343122).

The spelling of 200221120 in words is "two hundred million, two hundred twenty-one thousand, one hundred twenty".