61118112 has 96 divisors (see below), whose sum is σ = 180762624. Its totient is φ = 17913600.

The previous prime is 61118069. The next prime is 61118119. The reversal of 61118112 is 21181116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61118112² = 7470847228889088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (61118119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31803 + ... + 33669.

It is an arithmetic number, because the mean of its divisors is an integer number (1882944).

Almost surely, 2^61118112 is an apocalyptic number.

61118112 is a gapful number since it is divisible by the number (62) 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 61118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90381312).

61118112 is an abundant number, since it is smaller than the sum of its proper divisors (119644512).

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

61118112 is a wasteful number, since it uses less digits than its factorization.

61118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its digits is 96, while the sum is 21.

The square root of 61118112 is about 7817.8073652399. The cubic root of 61118112 is about 393.9036242069.

Adding to 61118112 its reverse (21181116), we get a palindrome (82299228).

The spelling of 61118112 in words is "sixty-one million, one hundred eighteen thousand, one hundred twelve".