1312400 has 60 divisors (see below), whose sum is σ = 3355812. Its totient is φ = 491520.

The previous prime is 1312397. The next prime is 1312411. The reversal of 1312400 is 42131.

It is a happy number.

1312400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 1290496 = 148^2 + 1136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6704 + ... + 6896.

2^1312400 is an apocalyptic number.

1312400 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 1312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677906).

1312400 is an abundant number, since it is smaller than the sum of its proper divisors (2043412).

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

1312400 is a wasteful number, since it uses less digits than its factorization.

1312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1312400 is about 1145.6002793296. The cubic root of 1312400 is about 109.4851977795.

Adding to 1312400 its reverse (42131), we get a palindrome (1354531).

It can be divided in two parts, 1312 and 400, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 1312400 in words is "one million, three hundred twelve thousand, four hundred".