1312006080 has 224 divisors, whose sum is σ = 5193792000. Its totient is φ = 272609280.

The previous prime is 1312006079. The next prime is 1312006103. The reversal of 1312006080 is 806002131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65046 + ... + 82794.

Almost surely, 2^1312006080 is an apocalyptic number.

1312006080 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 1312006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596896000).

1312006080 is an abundant number, since it is smaller than the sum of its proper divisors (3881785920).

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

1312006080 is a wasteful number, since it uses less digits than its factorization.

1312006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17787 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1312006080 is about 36221.6244804123. The cubic root of 1312006080 is about 1094.7424260200.

The spelling of 1312006080 in words is "one billion, three hundred twelve million, six thousand, eighty".