1312414000 has 80 divisors (see below), whose sum is σ = 3190483296. Its totient is φ = 522144000.

The previous prime is 1312413967. The next prime is 1312414009. The reversal of 1312414000 is 4142131.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (1312414009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392335 + ... + 395665.

Almost surely, 2^1312414000 is an apocalyptic number.

1312414000 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 1312414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595241648).

1312414000 is an abundant number, since it is smaller than the sum of its proper divisors (1878069296).

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

1312414000 is a wasteful number, since it uses less digits than its factorization.

1312414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312414000 is about 36227.2549332681. The cubic root of 1312414000 is about 1094.8558708848.

Adding to 1312414000 its reverse (4142131), we get a palindrome (1316556131).

The spelling of 1312414000 in words is "one billion, three hundred twelve million, four hundred fourteen thousand".