1282129992 has 384 divisors, whose sum is σ = 4384972800. Its totient is φ = 343699200.

The previous prime is 1282129931. The next prime is 1282130027. The reversal of 1282129992 is 2999212821.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12447813 + ... + 12447915.

It is an arithmetic number, because the mean of its divisors is an integer number (11419200).

Almost surely, 2^1282129992 is an apocalyptic number.

1282129992 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 1282129992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192486400).

1282129992 is an abundant number, since it is smaller than the sum of its proper divisors (3102842808).

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

1282129992 is a wasteful number, since it uses less digits than its factorization.

1282129992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1282129992 is about 35806.8428097200. The cubic root of 1282129992 is about 1086.3689720288.

The spelling of 1282129992 in words is "one billion, two hundred eighty-two million, one hundred twenty-nine thousand, nine hundred ninety-two".