312011424 has 72 divisors (see below), whose sum is σ = 904067892. Its totient is φ = 102036480.

The previous prime is 312011423. The next prime is 312011437. The reversal of 312011424 is 424110213.

It can be written as a sum of positive squares in 2 ways, for example, as 284259600 + 27751824 = 16860^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×312011424² = 194702257413015552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 312011397 and 312011406.

It is not an unprimeable number, because it can be changed into a prime (312011423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5044 + ... + 25484.

Almost surely, 2^312011424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452033946).

312011424 is an abundant number, since it is smaller than the sum of its proper divisors (592056468).

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

312011424 is a wasteful number, since it uses less digits than its factorization.

312011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312011424 is about 17663.8451080165. The cubic root of 312011424 is about 678.2505665359.

Adding to 312011424 its reverse (424110213), we get a palindrome (736121637).

The spelling of 312011424 in words is "three hundred twelve million, eleven thousand, four hundred twenty-four".