212112120112020 has 36 divisors (see below), whose sum is σ = 643406764340340. Its totient is φ = 56563232029824.

The previous prime is 212112120112007. The next prime is 212112120112027. The reversal of 212112120112020 is 20211021211212.

212112120112020 is a `hidden beast` number, since 212 + 112 + 1 + 201 + 120 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82793329639056 + 129318790472964 = 9099084^2 + 11371842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 212112120111984 and 212112120112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112120112027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589200333465 + ... + 589200333824.

It is an arithmetic number, because the mean of its divisors is an integer number (17872410120565).

Almost surely, 2^{212112120112020} is an apocalyptic number.

212112120112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112120112020 is an abundant number, since it is smaller than the sum of its proper divisors (431294644228320).

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

212112120112020 is a wasteful number, since it uses less digits than its factorization.

212112120112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178400667304 (or 1178400667299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112120112020 its reverse (20211021211212), we get a palindrome (232323141323232).

The spelling of 212112120112020 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, twenty".