212112121120 has 48 divisors (see below), whose sum is σ = 501170120640. Its totient is φ = 84835496704.

The previous prime is 212112121079. The next prime is 212112121139. The reversal of 212112121120 is 21121211212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212112121094 and 212112121103.

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 7 ways as a sum of consecutive naturals, for example, 1486839 + ... + 1623241.

It is an arithmetic number, because the mean of its divisors is an integer number (10441044180).

Almost surely, 2^212112121120 is an apocalyptic number.

212112121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112121120 is an abundant number, since it is smaller than the sum of its proper divisors (289057999520).

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

212112121120 is a wasteful number, since it uses less digits than its factorization.

212112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146137 (or 146129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112121120 its reverse (21121211212), we get a palindrome (233233332332).

The spelling of 212112121120 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".