1282000272 has 160 divisors (see below), whose sum is σ = 3929581824. Its totient is φ = 352512000.

The previous prime is 1282000271. The next prime is 1282000283. The reversal of 1282000272 is 2720002821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1282000271) 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, 1255122 + ... + 1256142.

Almost surely, 2^1282000272 is an apocalyptic number.

1282000272 is a gapful number since it is divisible by the number (12) 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 1282000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964790912).

1282000272 is an abundant number, since it is smaller than the sum of its proper divisors (2647581552).

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

1282000272 is a wasteful number, since it uses less digits than its factorization.

1282000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1282000272 is about 35805.0313782854. The cubic root of 1282000272 is about 1086.3323328588.

The spelling of 1282000272 in words is "one billion, two hundred eighty-two million, two hundred seventy-two", and thus it is an aban number.