1283877120 has 144 divisors (see below), whose sum is σ = 4316437440. Its totient is φ = 324329472.

The previous prime is 1283877113. The next prime is 1283877137. The reversal of 1283877120 is 217783821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64162 + ... + 81758.

It is an arithmetic number, because the mean of its divisors is an integer number (29975260).

Almost surely, 2^1283877120 is an apocalyptic number.

1283877120 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 1283877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158218720).

1283877120 is an abundant number, since it is smaller than the sum of its proper divisors (3032560320).

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

1283877120 is a wasteful number, since it uses less digits than its factorization.

1283877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 1283877120 is about 35831.2310701154. The cubic root of 1283877120 is about 1086.8622044316.

The spelling of 1283877120 in words is "one billion, two hundred eighty-three million, eight hundred seventy-seven thousand, one hundred twenty".