431212130010 has 256 divisors, whose sum is σ = 1217842053120. Its totient is φ = 108402416640.

The previous prime is 431212129993. The next prime is 431212130029. The reversal of 431212130010 is 10031212134.

431212130010 is a `hidden beast` number, since 431 + 21 + 213 + 0 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×431212130010² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155839647 + ... + 155842413.

It is an arithmetic number, because the mean of its divisors is an integer number (4757195520).

Almost surely, 2^431212130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431212130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608921026560).

431212130010 is an abundant number, since it is smaller than the sum of its proper divisors (786629923110).

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

431212130010 is a wasteful number, since it uses less digits than its factorization.

431212130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 431212130010 its reverse (10031212134), we get a palindrome (441243342144).

The spelling of 431212130010 in words is "four hundred thirty-one billion, two hundred twelve million, one hundred thirty thousand, ten".