1282123040 has 192 divisors, whose sum is σ = 3631703040. Its totient is φ = 422231040.

The previous prime is 1282122997. The next prime is 1282123049. The reversal of 1282123040 is 403212821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1282122997 and 1282123015.

It is not an unprimeable number, because it can be changed into a prime (1282123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768287 + ... + 769953.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 2^1282123040 is an apocalyptic number.

1282123040 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 1282123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815851520).

1282123040 is an abundant number, since it is smaller than the sum of its proper divisors (2349580000).

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

1282123040 is a wasteful number, since it uses less digits than its factorization.

1282123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1282123040 is about 35806.7457331716. The cubic root of 1282123040 is about 1086.3670085121.

Adding to 1282123040 its reverse (403212821), we get a palindrome (1685335861).

The spelling of 1282123040 in words is "one billion, two hundred eighty-two million, one hundred twenty-three thousand, forty".