1120400113 has 48 divisors (see below), whose sum is σ = 1450808320. Its totient is φ = 844971264.

The previous prime is 1120400087. The next prime is 1120400167. The reversal of 1120400113 is 3110040211.

It is a de Polignac number, because none of the positive numbers 2^k-1120400113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120400093 and 1120400102.

It is not an unprimeable number, because it can be changed into a prime (1120403113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3958870 + ... + 3959152.

Almost surely, 2^1120400113 is an apocalyptic number.

It is an amenable number.

1120400113 is a deficient number, since it is larger than the sum of its proper divisors (330408207).

1120400113 is a wasteful number, since it uses less digits than its factorization.

1120400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1120400113 is about 33472.3783588797. The cubic root of 1120400113 is about 1038.6224713845.

Adding to 1120400113 its reverse (3110040211), we get a palindrome (4230440324).

The spelling of 1120400113 in words is "one billion, one hundred twenty million, four hundred thousand, one hundred thirteen".