212202131121 has 72 divisors (see below), whose sum is σ = 321500907000. Its totient is φ = 134833351680.

The previous prime is 212202131101. The next prime is 212202131159. The reversal of 212202131121 is 121131202212.

212202131121 is a `hidden beast` number, since 212 + 202 + 131 + 121 = 666.

212202131121 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 12 ways, for example, as 2035814400 + 210166316721 = 45120^2 + 458439^2 .

It is not a de Polignac number, because 212202131121 - 2²² = 212197936817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212202131094 and 212202131103.

It is not an unprimeable number, because it can be changed into a prime (212202131101) 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 71 ways as a sum of consecutive naturals, for example, 262301365 + ... + 262302173.

It is an arithmetic number, because the mean of its divisors is an integer number (4465290375).

Almost surely, 2^212202131121 is an apocalyptic number.

It is an amenable number.

212202131121 is a deficient number, since it is larger than the sum of its proper divisors (109298775879).

212202131121 is a wasteful number, since it uses less digits than its factorization.

212202131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212202131121 its reverse (121131202212), we get a palindrome (333333333333).

The spelling of 212202131121 in words is "two hundred twelve billion, two hundred two million, one hundred thirty-one thousand, one hundred twenty-one".