120112212111221 has 32 divisors (see below), whose sum is σ = 133291017281280. Its totient is φ = 107313020812800.

The previous prime is 120112212111209. The next prime is 120112212111233. The reversal of 120112212111221 is 122111212211021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120112212111209) and next prime (120112212111233).

It is a de Polignac number, because none of the positive numbers 2^k-120112212111221 is a prime.

It is a super-2 number, since 2×120112212111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120112212111193 and 120112212111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112212111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6091799855 + ... + 6091819571.

It is an arithmetic number, because the mean of its divisors is an integer number (4165344290040).

Almost surely, 2^{120112212111221} is an apocalyptic number.

120112212111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120112212111221 is a deficient number, since it is larger than the sum of its proper divisors (13178805170059).

120112212111221 is a wasteful number, since it uses less digits than its factorization.

120112212111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26925.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 120112212111221 its reverse (122111212211021), we get a palindrome (242223424322242).

The spelling of 120112212111221 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-one".