421131312 has 200 divisors, whose sum is σ = 1417697952. Its totient is φ = 118195200.

The previous prime is 421131307. The next prime is 421131341. The reversal of 421131312 is 213131124.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553012 + ... + 553772.

Almost surely, 2^421131312 is an apocalyptic number.

421131312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708848976).

421131312 is an abundant number, since it is smaller than the sum of its proper divisors (996566640).

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

421131312 is a wasteful number, since it uses less digits than its factorization.

421131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

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

The square root of 421131312 is about 20521.4841568538. The cubic root of 421131312 is about 749.5590367861.

Adding to 421131312 its reverse (213131124), we get a palindrome (634262436).

The spelling of 421131312 in words is "four hundred twenty-one million, one hundred thirty-one thousand, three hundred twelve".