212000121 has 36 divisors (see below), whose sum is σ = 326147692. Its totient is φ = 132596352.

The previous prime is 212000101. The next prime is 212000137. The reversal of 212000121 is 121000212.

It can be written as a sum of positive squares in 6 ways, for example, as 19900521 + 192099600 = 4461^2 + 13860^2 .

It is not a de Polignac number, because 212000121 - 2⁶ = 212000057 is a prime.

It is a super-3 number, since 3×212000121³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212000101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279675 + ... + 280431.

Almost surely, 2^212000121 is an apocalyptic number.

It is an amenable number.

212000121 is a deficient number, since it is larger than the sum of its proper divisors (114147571).

212000121 is a wasteful number, since it uses less digits than its factorization.

212000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212000121 is about 14560.2239337175. The cubic root of 212000121 is about 596.2733092163.

Adding to 212000121 its reverse (121000212), we get a palindrome (333000333).

Subtracting from 212000121 its reverse (121000212), we obtain a palindrome (90999909).

The spelling of 212000121 in words is "two hundred twelve million, one hundred twenty-one", and thus it is an aban number.