1283325120 has 560 divisors, whose sum is σ = 5700296448. Its totient is φ = 266250240.

The previous prime is 1283325119. The next prime is 1283325149. The reversal of 1283325120 is 215233821.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1995519 + ... + 1996161.

Almost surely, 2^1283325120 is an apocalyptic number.

1283325120 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 1283325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850148224).

1283325120 is an abundant number, since it is smaller than the sum of its proper divisors (4416971328).

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

1283325120 is a wasteful number, since it uses less digits than its factorization.

1283325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1283325120 is about 35823.5274645030. The cubic root of 1283325120 is about 1086.7064174719.

Adding to 1283325120 its reverse (215233821), we get a palindrome (1498558941).

The spelling of 1283325120 in words is "one billion, two hundred eighty-three million, three hundred twenty-five thousand, one hundred twenty".