210134404431012 has 96 divisors (see below), whose sum is σ = 501025418538624. Its totient is φ = 68522418432000.

The previous prime is 210134404430989. The next prime is 210134404431019.

It is a happy number.

210134404431012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210134404431012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210134404431019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598393962 + ... + 598745022.

It is an arithmetic number, because the mean of its divisors is an integer number (5219014776444).

Almost surely, 2^{210134404431012} is an apocalyptic number.

It is an amenable number.

210134404431012 is an abundant number, since it is smaller than the sum of its proper divisors (290891014107612).

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

210134404431012 is a wasteful number, since it uses less digits than its factorization.

210134404431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353869 (or 353867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21013440 and 4431012, that added together give a palindrome (25444452).

The spelling of 210134404431012 in words is "two hundred ten trillion, one hundred thirty-four billion, four hundred four million, four hundred thirty-one thousand, twelve".