212664434121 has 20 divisors (see below), whose sum is σ = 328638528900. Its totient is φ = 136887450336.

The previous prime is 212664434093. The next prime is 212664434131. The reversal of 212664434121 is 121434466212.

212664434121 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 644 + 3 + 4 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78323858496 + 134340575625 = 279864^2 + 366525^2 .

It is not a de Polignac number, because 212664434121 - 2¹³ = 212664425929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212664434131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45264666 + ... + 45269363.

It is an arithmetic number, because the mean of its divisors is an integer number (16431926445).

Almost surely, 2^212664434121 is an apocalyptic number.

It is an amenable number.

212664434121 is a deficient number, since it is larger than the sum of its proper divisors (115974094779).

212664434121 is an equidigital number, since it uses as much as digits as its factorization.

212664434121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90534070 (or 90534061 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 212664434121 in words is "two hundred twelve billion, six hundred sixty-four million, four hundred thirty-four thousand, one hundred twenty-one".