1311424224 has 48 divisors (see below), whose sum is σ = 3755445120. Its totient is φ = 397400960.

The previous prime is 1311424199. The next prime is 1311424241. The reversal of 1311424224 is 4224241131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1311424224³ (a number of 28 digits) contains 333 as substring.

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 = 1311424194 and 1311424203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619884 + ... + 621995.

It is an arithmetic number, because the mean of its divisors is an integer number (78238440).

Almost surely, 2^1311424224 is an apocalyptic number.

It is an amenable number.

1311424224 is an abundant number, since it is smaller than the sum of its proper divisors (2444020896).

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

1311424224 is a wasteful number, since it uses less digits than its factorization.

1311424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241903 (or 1241895 counting only the distinct ones).

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

The square root of 1311424224 is about 36213.5917025638. The cubic root of 1311424224 is about 1094.5805678685.

Adding to 1311424224 its reverse (4224241131), we get a palindrome (5535665355).

The spelling of 1311424224 in words is "one billion, three hundred eleven million, four hundred twenty-four thousand, two hundred twenty-four".