1116137121 has 48 divisors (see below), whose sum is σ = 1745130240. Its totient is φ = 627406560.

The previous prime is 1116137101. The next prime is 1116137147. The reversal of 1116137121 is 1217316111.

It is not a de Polignac number, because 1116137121 - 2¹⁹ = 1115612833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1116137091 and 1116137100.

It is not an unprimeable number, because it can be changed into a prime (1116137101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6847386 + ... + 6847548.

It is an arithmetic number, because the mean of its divisors is an integer number (36356880).

Almost surely, 2^1116137121 is an apocalyptic number.

1116137121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1116137121 is a deficient number, since it is larger than the sum of its proper divisors (628993119).

1116137121 is a wasteful number, since it uses less digits than its factorization.

1116137121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 263 counting only the distinct ones).

The product of its digits is 252, while the sum is 24.

The square root of 1116137121 is about 33408.6384188281. The cubic root of 1116137121 is about 1037.3035179481.

The spelling of 1116137121 in words is "one billion, one hundred sixteen million, one hundred thirty-seven thousand, one hundred twenty-one".