1071156126912 has 112 divisors (see below), whose sum is σ = 3013266101472. Its totient is φ = 334654341120.

The previous prime is 1071156126889. The next prime is 1071156126967. The reversal of 1071156126912 is 2196216511701.

It is a super-2 number, since 2×1071156126912² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 105768 + ... + 1467480.

Almost surely, 2^{1071156126912} is an apocalyptic number.

1071156126912 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 1071156126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506633050736).

1071156126912 is an abundant number, since it is smaller than the sum of its proper divisors (1942109974560).

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

1071156126912 is a wasteful number, since it uses less digits than its factorization.

1071156126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361986 (or 1361976 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The spelling of 1071156126912 in words is "one trillion, seventy-one billion, one hundred fifty-six million, one hundred twenty-six thousand, nine hundred twelve".