212212212211120 has 80 divisors (see below), whose sum is σ = 550764718301952. Its totient is φ = 75373470708480.

The previous prime is 212212212211093. The next prime is 212212212211141. The reversal of 212212212211120 is 21112212212212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212212212211091 and 212212212211100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2804034732 + ... + 2804110411.

Almost surely, 2^{212212212211120} is an apocalyptic number.

212212212211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212212211120 is an abundant number, since it is smaller than the sum of its proper divisors (338552506090832).

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

212212212211120 is a wasteful number, since it uses less digits than its factorization.

212212212211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608145210 (or 5608145204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212212212211120 its reverse (21112212212212), we get a palindrome (233324424423332).

The spelling of 212212212211120 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".