1312578000 has 320 divisors, whose sum is σ = 4766361600. Its totient is φ = 345254400.

The previous prime is 1312577993. The next prime is 1312578011. The reversal of 1312578000 is 8752131.

It is a super-2 number, since 2×1312578000² = 3445722012168000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5885889 + ... + 5886111.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 2^1312578000 is an apocalyptic number.

1312578000 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 1312578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383180800).

1312578000 is an abundant number, since it is smaller than the sum of its proper divisors (3453783600).

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

1312578000 is a wasteful number, since it uses less digits than its factorization.

1312578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1312578000 is about 36229.5183517529. The cubic root of 1312578000 is about 1094.9014735895.

It can be divided in two parts, 13125 and 78000, that added together give a cube (91125 = 45³).

The spelling of 1312578000 in words is "one billion, three hundred twelve million, five hundred seventy-eight thousand".