1082340129312 has 96 divisors (see below), whose sum is σ = 3399658133760. Its totient is φ = 333027728640.

The previous prime is 1082340129301. The next prime is 1082340129317. The reversal of 1082340129312 is 2139210432801.

1082340129312 is a `hidden beast` number, since 10 + 8 + 2 + 340 + 1 + 293 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1082340129317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48169864 + ... + 48192327.

It is an arithmetic number, because the mean of its divisors is an integer number (35413105560).

Almost surely, 2^{1082340129312} is an apocalyptic number.

1082340129312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1082340129312 is an abundant number, since it is smaller than the sum of its proper divisors (2317318004448).

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

1082340129312 is a wasteful number, since it uses less digits than its factorization.

1082340129312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96362223 (or 96362209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1082340129312 in words is "one trillion, eighty-two billion, three hundred forty million, one hundred twenty-nine thousand, three hundred twelve".