212133122020 has 12 divisors (see below), whose sum is σ = 445479556284. Its totient is φ = 84853248800.

The previous prime is 212133122011. The next prime is 212133122027. The reversal of 212133122020 is 20221331212.

212133122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35778479104 + 176354642916 = 189152^2 + 419946^2 .

It is a super-2 number, since 2×212133122020² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212133122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5303328031 + ... + 5303328070.

It is an arithmetic number, because the mean of its divisors is an integer number (37123296357).

Almost surely, 2^212133122020 is an apocalyptic number.

212133122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133122020 is an abundant number, since it is smaller than the sum of its proper divisors (233346434264).

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

212133122020 is a wasteful number, since it uses less digits than its factorization.

212133122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606656110 (or 10606656108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212133122020 its reverse (20221331212), we get a palindrome (232354453232).

It can be divided in two parts, 212133 and 122020, that added together give a triangular number (334153 = T₈₁₇).

The spelling of 212133122020 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred twenty-two thousand, twenty".