1312511200 has 432 divisors, whose sum is σ = 4363783200. Its totient is φ = 375091200.

The previous prime is 1312511149. The next prime is 1312511209. The reversal of 1312511200 is 21152131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312511209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8808726 + ... + 8808874.

It is an arithmetic number, because the mean of its divisors is an integer number (10101350).

Almost surely, 2^1312511200 is an apocalyptic number.

1312511200 is a gapful number since it is divisible by the number (10) 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 1312511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181891600).

1312511200 is an abundant number, since it is smaller than the sum of its proper divisors (3051272000).

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

1312511200 is a wasteful number, since it uses less digits than its factorization.

1312511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1312511200 is about 36228.5964398291. The cubic root of 1312511200 is about 1094.8828992878.

Adding to 1312511200 its reverse (21152131), we get a palindrome (1333663331).

The spelling of 1312511200 in words is "one billion, three hundred twelve million, five hundred eleven thousand, two hundred".