1312242144 has 96 divisors (see below), whose sum is σ = 3636864000. Its totient is φ = 413144064.

The previous prime is 1312242133. The next prime is 1312242157. The reversal of 1312242144 is 4412422131.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745137 + ... + 746895.

It is an arithmetic number, because the mean of its divisors is an integer number (37884000).

Almost surely, 2^1312242144 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 1312242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818432000).

1312242144 is an abundant number, since it is smaller than the sum of its proper divisors (2324621856).

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

1312242144 is a wasteful number, since it uses less digits than its factorization.

1312242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2192 counting only the distinct ones).

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

The square root of 1312242144 is about 36224.8829397695. The cubic root of 1312242144 is about 1094.8080796228.

Adding to 1312242144 its reverse (4412422131), we get a palindrome (5724664275).

The spelling of 1312242144 in words is "one billion, three hundred twelve million, two hundred forty-two thousand, one hundred forty-four".