1290712320 has 360 divisors, whose sum is σ = 4718941920. Its totient is φ = 336752640.

The previous prime is 1290712307. The next prime is 1290712331. The reversal of 1290712320 is 232170921.

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 39 ways as a sum of consecutive naturals, for example, 6117015 + ... + 6117225.

It is an arithmetic number, because the mean of its divisors is an integer number (13108172).

Almost surely, 2^1290712320 is an apocalyptic number.

1290712320 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 1290712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359470960).

1290712320 is an abundant number, since it is smaller than the sum of its proper divisors (3428229600).

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

1290712320 is an equidigital number, since it uses as much as digits as its factorization.

1290712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1290712320 is about 35926.4849379953. The cubic root of 1290712320 is about 1088.7875641444.

The spelling of 1290712320 in words is "one billion, two hundred ninety million, seven hundred twelve thousand, three hundred twenty".