1260312144 has 240 divisors, whose sum is σ = 4170233088. Its totient is φ = 324946944.

The previous prime is 1260312139. The next prime is 1260312149. The reversal of 1260312144 is 4412130621.

It is an interprime number because it is at equal distance from previous prime (1260312139) and next prime (1260312149).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260312149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436634 + ... + 1437510.

Almost surely, 2^1260312144 is an apocalyptic number.

1260312144 is a gapful number since it is divisible by the number (14) 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 1260312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085116544).

1260312144 is an abundant number, since it is smaller than the sum of its proper divisors (2909920944).

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

1260312144 is a wasteful number, since it uses less digits than its factorization.

1260312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1260312144 is about 35500.8752568159. The cubic root of 1260312144 is about 1080.1714816871.

Adding to 1260312144 its reverse (4412130621), we get a palindrome (5672442765).

The spelling of 1260312144 in words is "one billion, two hundred sixty million, three hundred twelve thousand, one hundred forty-four".