1012033110312 has 96 divisors (see below), whose sum is σ = 3160204706880. Its totient is φ = 286593431040.

The previous prime is 1012033110301. The next prime is 1012033110323. The reversal of 1012033110312 is 2130113302101.

1012033110312 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 331 + 1 + 0 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1012033110301) and next prime (1012033110323).

It is a super-2 number, since 2×1012033110312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8828014 + ... + 8941917.

It is an arithmetic number, because the mean of its divisors is an integer number (32918799030).

Almost surely, 2^{1012033110312} is an apocalyptic number.

1012033110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012033110312 is an abundant number, since it is smaller than the sum of its proper divisors (2148171596568).

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

1012033110312 is a wasteful number, since it uses less digits than its factorization.

1012033110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17770063 (or 17770056 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012033110312 its reverse (2130113302101), we get a palindrome (3142146412413).

The spelling of 1012033110312 in words is "one trillion, twelve billion, thirty-three million, one hundred ten thousand, three hundred twelve".