212134424431212 has 72 divisors (see below), whose sum is σ = 538138293258384. Its totient is φ = 70459671960576.

The previous prime is 212134424431211. The next prime is 212134424431231.

212134424431212 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 4 + 4 + 2 + 4 + 431 + 212 = 666.

212134424431212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212134424431211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396993688 + ... + 397527680.

It is an arithmetic number, because the mean of its divisors is an integer number (7474142961922).

Almost surely, 2^{212134424431212} is an apocalyptic number.

It is an amenable number.

212134424431212 is an abundant number, since it is smaller than the sum of its proper divisors (326003868827172).

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

212134424431212 is a wasteful number, since it uses less digits than its factorization.

212134424431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573279 (or 573274 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 212134424431212 in words is "two hundred twelve trillion, one hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-one thousand, two hundred twelve".