1020083088612 has 96 divisors (see below), whose sum is σ = 2790376936704. Its totient is φ = 283955097600.

The previous prime is 1020083088601. The next prime is 1020083088649. The reversal of 1020083088612 is 2168803800201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2322412 + ... + 2726492.

It is an arithmetic number, because the mean of its divisors is an integer number (29066426424).

Almost surely, 2^{1020083088612} is an apocalyptic number.

1020083088612 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 1020083088612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395188468352).

1020083088612 is an abundant number, since it is smaller than the sum of its proper divisors (1770293848092).

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

1020083088612 is a wasteful number, since it uses less digits than its factorization.

1020083088612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404869 (or 404867 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

Adding to 1020083088612 its reverse (2168803800201), we get a palindrome (3188886888813).

The spelling of 1020083088612 in words is "one trillion, twenty billion, eighty-three million, eighty-eight thousand, six hundred twelve".