1312058172672 has 288 divisors, whose sum is σ = 4181031106560. Its totient is φ = 403460628480.

The previous prime is 1312058172617. The next prime is 1312058172679. The reversal of 1312058172672 is 2762718502131.

1312058172672 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 581 + 7 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312058172679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189682558 + ... + 189689474.

It is an arithmetic number, because the mean of its divisors is an integer number (14517469120).

Almost surely, 2^{1312058172672} is an apocalyptic number.

1312058172672 is a gapful number since it is divisible by the number (12) 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 1312058172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090515553280).

1312058172672 is an abundant number, since it is smaller than the sum of its proper divisors (2868972933888).

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

1312058172672 is a wasteful number, since it uses less digits than its factorization.

1312058172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1312058172672 in words is "one trillion, three hundred twelve billion, fifty-eight million, one hundred seventy-two thousand, six hundred seventy-two".