221200210223120 has 20 divisors (see below), whose sum is σ = 514290488768940. Its totient is φ = 88480084089216.

The previous prime is 221200210223081. The next prime is 221200210223137. The reversal of 221200210223120 is 21322012002122.

It can be written as a sum of positive squares in 2 ways, for example, as 89434697688064 + 131765512535056 = 9456992^2 + 11478916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221200210223092 and 221200210223101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382501313815 + ... + 1382501313974.

It is an arithmetic number, because the mean of its divisors is an integer number (25714524438447).

Almost surely, 2^{221200210223120} is an apocalyptic number.

221200210223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200210223120 is an abundant number, since it is smaller than the sum of its proper divisors (293090278545820).

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

221200210223120 is a wasteful number, since it uses less digits than its factorization.

221200210223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765002627802 (or 2765002627796 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221200210223120 its reverse (21322012002122), we get a palindrome (242522222225242).

The spelling of 221200210223120 in words is "two hundred twenty-one trillion, two hundred billion, two hundred ten million, two hundred twenty-three thousand, one hundred twenty".