1284375120 has 160 divisors (see below), whose sum is σ = 4576849920. Its totient is φ = 291863040.

The previous prime is 1284375119. The next prime is 1284375121. The reversal of 1284375120 is 215734821.

It is an interprime number because it is at equal distance from previous prime (1284375119) and next prime (1284375121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284375121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298585 + ... + 302855.

It is an arithmetic number, because the mean of its divisors is an integer number (28605312).

Almost surely, 2^1284375120 is an apocalyptic number.

1284375120 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 1284375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288424960).

1284375120 is an abundant number, since it is smaller than the sum of its proper divisors (3292474800).

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

1284375120 is a wasteful number, since it uses less digits than its factorization.

1284375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1284375120 is about 35838.1796412708. The cubic root of 1284375120 is about 1087.0027130524.

The spelling of 1284375120 in words is "one billion, two hundred eighty-four million, three hundred seventy-five thousand, one hundred twenty".