1126193012736 has 448 divisors, whose sum is σ = 3489582145536. Its totient is φ = 319265177600.

The previous prime is 1126193012729. The next prime is 1126193012807. The reversal of 1126193012736 is 6372103916211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877780351 + ... + 877781633.

Almost surely, 2^{1126193012736} is an apocalyptic number.

1126193012736 is a gapful number since it is divisible by the number (16) 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 1126193012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744791072768).

1126193012736 is an abundant number, since it is smaller than the sum of its proper divisors (2363389132800).

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

1126193012736 is a wasteful number, since it uses less digits than its factorization.

1126193012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

Adding to 1126193012736 its reverse (6372103916211), we get a palindrome (7498296928947).

The spelling of 1126193012736 in words is "one trillion, one hundred twenty-six billion, one hundred ninety-three million, twelve thousand, seven hundred thirty-six".