1121599567176 has 256 divisors, whose sum is σ = 3353096736000. Its totient is φ = 308618526720.

The previous prime is 1121599567141. The next prime is 1121599567181. The reversal of 1121599567176 is 6717659951211.

It is a super-2 number, since 2×1121599567176² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232839520 + ... + 232844336.

It is an arithmetic number, because the mean of its divisors is an integer number (13098034125).

Almost surely, 2^{1121599567176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121599567176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676548368000).

1121599567176 is an abundant number, since it is smaller than the sum of its proper divisors (2231497168824).

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

1121599567176 is a wasteful number, since it uses less digits than its factorization.

1121599567176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6668 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 60.

The spelling of 1121599567176 in words is "one trillion, one hundred twenty-one billion, five hundred ninety-nine million, five hundred sixty-seven thousand, one hundred seventy-six".