312429312 has 360 divisors, whose sum is σ = 1073386160. Its totient is φ = 89579520.

The previous prime is 312429289. The next prime is 312429319. The reversal of 312429312 is 213924213.

It is a happy number.

It is a super-2 number, since 2×312429312² = 195224149993586688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312429319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5121762 + ... + 5121822.

Almost surely, 2^312429312 is an apocalyptic number.

312429312 is a gapful number since it is divisible by the number (32) 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 312429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536693080).

312429312 is an abundant number, since it is smaller than the sum of its proper divisors (760956848).

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

312429312 is a wasteful number, since it uses less digits than its factorization.

312429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312429312 is about 17675.6700580204. The cubic root of 312429312 is about 678.5532331562.

The spelling of 312429312 in words is "three hundred twelve million, four hundred twenty-nine thousand, three hundred twelve".