1312253200 has 120 divisors (see below), whose sum is σ = 3227114880. Its totient is φ = 512678400.

The previous prime is 1312253197. The next prime is 1312253209. The reversal of 1312253200 is 23522131.

It is a super-3 number, since 3×1312253200³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312253209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4139442 + ... + 4139758.

It is an arithmetic number, because the mean of its divisors is an integer number (26892624).

Almost surely, 2^1312253200 is an apocalyptic number.

1312253200 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 1312253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613557440).

1312253200 is an abundant number, since it is smaller than the sum of its proper divisors (1914861680).

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

1312253200 is a wasteful number, since it uses less digits than its factorization.

1312253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1312253200 is about 36225.0355417355. The cubic root of 1312253200 is about 1094.8111543003.

Adding to 1312253200 its reverse (23522131), we get a palindrome (1335775331).

The spelling of 1312253200 in words is "one billion, three hundred twelve million, two hundred fifty-three thousand, two hundred".