1312034000 has 80 divisors (see below), whose sum is σ = 3202670016. Its totient is φ = 519824000.

The previous prime is 1312033993. The next prime is 1312034039. The reversal of 1312034000 is 4302131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210935 + ... + 217065.

Almost surely, 2^1312034000 is an apocalyptic number.

1312034000 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 1312034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601335008).

1312034000 is an abundant number, since it is smaller than the sum of its proper divisors (1890636016).

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

1312034000 is a wasteful number, since it uses less digits than its factorization.

1312034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1312034000 is about 36222.0098834949. The cubic root of 1312034000 is about 1094.7501914799.

Adding to 1312034000 its reverse (4302131), we get a palindrome (1316336131).

The spelling of 1312034000 in words is "one billion, three hundred twelve million, thirty-four thousand".