1283130720 has 240 divisors, whose sum is σ = 4561725168. Its totient is φ = 339655680.

The previous prime is 1283130683. The next prime is 1283130749. The reversal of 1283130720 is 270313821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1283130720³ (a number of 28 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2345487 + ... + 2346033.

Almost surely, 2^1283130720 is an apocalyptic number.

1283130720 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 1283130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280862584).

1283130720 is an abundant number, since it is smaller than the sum of its proper divisors (3278594448).

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

1283130720 is a wasteful number, since it uses less digits than its factorization.

1283130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1283130720 is about 35820.8140611014. The cubic root of 1283130720 is about 1086.6515427322.

The spelling of 1283130720 in words is "one billion, two hundred eighty-three million, one hundred thirty thousand, seven hundred twenty".