1283157120 has 384 divisors, whose sum is σ = 4973063040. Its totient is φ = 280068096.

The previous prime is 1283157107. The next prime is 1283157121. The reversal of 1283157120 is 217513821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1283157121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163544 + ... + 2164136.

It is an arithmetic number, because the mean of its divisors is an integer number (12950685).

Almost surely, 2^1283157120 is an apocalyptic number.

1283157120 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 1283157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486531520).

1283157120 is an abundant number, since it is smaller than the sum of its proper divisors (3689905920).

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

1283157120 is a wasteful number, since it uses less digits than its factorization.

1283157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1283157120 is about 35821.1825600440. The cubic root of 1283157120 is about 1086.6589951826.

The spelling of 1283157120 in words is "one billion, two hundred eighty-three million, one hundred fifty-seven thousand, one hundred twenty".