212134123410 has 128 divisors (see below), whose sum is σ = 570816626688. Its totient is φ = 50007744000.

The previous prime is 212134123387. The next prime is 212134123489. The reversal of 212134123410 is 14321431212.

212134123410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212134123410² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4128175 + ... + 4179245.

It is an arithmetic number, because the mean of its divisors is an integer number (4459504896).

Almost surely, 2^212134123410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212134123410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285408313344).

212134123410 is an abundant number, since it is smaller than the sum of its proper divisors (358682503278).

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

212134123410 is a wasteful number, since it uses less digits than its factorization.

212134123410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51440.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212134123410 its reverse (14321431212), we get a palindrome (226455554622).

The spelling of 212134123410 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred twenty-three thousand, four hundred ten".