1312034400 has 216 divisors, whose sum is σ = 4661420400. Its totient is φ = 347243520.

The previous prime is 1312034387. The next prime is 1312034411. The reversal of 1312034400 is 44302131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072189 + ... + 1073411.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^1312034400 is an apocalyptic number.

1312034400 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 1312034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330710200).

1312034400 is an abundant number, since it is smaller than the sum of its proper divisors (3349386000).

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

1312034400 is a wasteful number, since it uses less digits than its factorization.

1312034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1312034400 is about 36222.0154049992. The cubic root of 1312034400 is about 1094.7503027321.

Adding to 1312034400 its reverse (44302131), we get a palindrome (1356336531).

The spelling of 1312034400 in words is "one billion, three hundred twelve million, thirty-four thousand, four hundred".