12310416 has 60 divisors (see below), whose sum is σ = 35123868. Its totient is φ = 4023552.

The previous prime is 12310411. The next prime is 12310421. The reversal of 12310416 is 61401321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12310411) and next prime (12310421).

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 4016016 = 2880^2 + 2004^2 .

It is a super-3 number, since 3×12310416³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12310411) 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, 6826 + ... + 8438.

Almost surely, 2^12310416 is an apocalyptic number.

12310416 is a gapful number since it is divisible by the number (16) 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 12310416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561934).

12310416 is an abundant number, since it is smaller than the sum of its proper divisors (22813452).

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

12310416 is a wasteful number, since it uses less digits than its factorization.

12310416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1671 counting only the distinct ones).

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

The square root of 12310416 is about 3508.6202416335. The cubic root of 12310416 is about 230.9001648759.

Adding to 12310416 its reverse (61401321), we get a palindrome (73711737).

It can be divided in two parts, 1231041 and 6, that multiplied together give a triangular number (7386246 = T₃₈₄₃).

The spelling of 12310416 in words is "twelve million, three hundred ten thousand, four hundred sixteen".