1312212960 has 360 divisors, whose sum is σ = 4942448280. Its totient is φ = 326965248.

The previous prime is 1312212953. The next prime is 1312212973. The reversal of 1312212960 is 692122131.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 17975484 + ... + 17975556.

It is an arithmetic number, because the mean of its divisors is an integer number (13729023).

Almost surely, 2^1312212960 is an apocalyptic number.

1312212960 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 1312212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471224140).

1312212960 is an abundant number, since it is smaller than the sum of its proper divisors (3630235320).

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

1312212960 is an equidigital number, since it uses as much as digits as its factorization.

1312212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1312212960 is about 36224.4801204931. The cubic root of 1312212960 is about 1094.7999634592.

The spelling of 1312212960 in words is "one billion, three hundred twelve million, two hundred twelve thousand, nine hundred sixty".