1012916688000 has 512 divisors, whose sum is σ = 4004385914880. Its totient is φ = 221455872000.

The previous prime is 1012916687947. The next prime is 1012916688061. The reversal of 1012916688000 is 8866192101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7662465 + ... + 7793535.

It is an arithmetic number, because the mean of its divisors is an integer number (7821066240).

Almost surely, 2^{1012916688000} is an apocalyptic number.

1012916688000 is a gapful number since it is divisible by the number (10) 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 1012916688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002192957440).

1012916688000 is an abundant number, since it is smaller than the sum of its proper divisors (2991469226880).

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

1012916688000 is a wasteful number, since it uses less digits than its factorization.

1012916688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131133 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 1012916688000 in words is "one trillion, twelve billion, nine hundred sixteen million, six hundred eighty-eight thousand".