120012202210221 has 36 divisors (see below), whose sum is σ = 181967586436636. Its totient is φ = 76211969644800.

The previous prime is 120012202210183. The next prime is 120012202210223. The reversal of 120012202210221 is 122012202210021.

It is a happy number.

120012202210221 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 220 + 221 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98339173725321 + 21673028484900 = 9916611^2 + 4655430^2 .

It is not a de Polignac number, because 120012202210221 - 2³⁴ = 119995022341037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120012202210194 and 120012202210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012202210223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51150010 + ... + 53444811.

Almost surely, 2^{120012202210221} is an apocalyptic number.

It is an amenable number.

120012202210221 is a deficient number, since it is larger than the sum of its proper divisors (61955384226415).

120012202210221 is a wasteful number, since it uses less digits than its factorization.

120012202210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104595114 (or 104595088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120012202210221 its reverse (122012202210021), we get a palindrome (242024404420242).

The spelling of 120012202210221 in words is "one hundred twenty trillion, twelve billion, two hundred two million, two hundred ten thousand, two hundred twenty-one".