1283973120 has 392 divisors, whose sum is σ = 4727347416. Its totient is φ = 334430208.

The previous prime is 1283973113. The next prime is 1283973133. The reversal of 1283973120 is 213793821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859819 + ... + 29859861.

Almost surely, 2^1283973120 is an apocalyptic number.

1283973120 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 1283973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363673708).

1283973120 is an abundant number, since it is smaller than the sum of its proper divisors (3443374296).

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

1283973120 is an frugal number, since it uses more digits than its factorization.

1283973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1283973120 is about 35832.5706585503. The cubic root of 1283973120 is about 1086.8892932574.

The spelling of 1283973120 in words is "one billion, two hundred eighty-three million, nine hundred seventy-three thousand, one hundred twenty".