1312414224 has 160 divisors (see below), whose sum is σ = 3919463424. Its totient is φ = 374499840.

The previous prime is 1312414219. The next prime is 1312414241. The reversal of 1312414224 is 4224142131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312414194 and 1312414203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812842 + ... + 814454.

Almost surely, 2^1312414224 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 1312414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959731712).

1312414224 is an abundant number, since it is smaller than the sum of its proper divisors (2607049200).

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

1312414224 is a wasteful number, since it uses less digits than its factorization.

1312414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1312414224 is about 36227.2580248630. The cubic root of 1312414224 is about 1094.8559331740.

Adding to 1312414224 its reverse (4224142131), we get a palindrome (5536556355).

The spelling of 1312414224 in words is "one billion, three hundred twelve million, four hundred fourteen thousand, two hundred twenty-four".