221032122120 has 96 divisors (see below), whose sum is σ = 718434564120. Its totient is φ = 58935321600.

The previous prime is 221032122079. The next prime is 221032122121. The reversal of 221032122120 is 21221230122.

221032122120 is a `hidden beast` number, since 221 + 0 + 321 + 2 + 2 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213449544036 + 7582578084 = 462006^2 + 87078^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221032122093 and 221032122102.

It is not an unprimeable number, because it can be changed into a prime (221032122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3787402 + ... + 3845318.

Almost surely, 2^221032122120 is an apocalyptic number.

221032122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221032122120 is an abundant number, since it is smaller than the sum of its proper divisors (497402442000).

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

221032122120 is a wasteful number, since it uses less digits than its factorization.

221032122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68535 (or 68528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221032122120 its reverse (21221230122), we get a palindrome (242253352242).

The spelling of 221032122120 in words is "two hundred twenty-one billion, thirty-two million, one hundred twenty-two thousand, one hundred twenty".