1167110112 has 288 divisors, whose sum is σ = 3926506752. Its totient is φ = 296275968.

The previous prime is 1167110107. The next prime is 1167110117. The reversal of 1167110112 is 2110117611.

It is an interprime number because it is at equal distance from previous prime (1167110107) and next prime (1167110117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167110117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4123923 + ... + 4124205.

It is an arithmetic number, because the mean of its divisors is an integer number (13633704).

Almost surely, 2^1167110112 is an apocalyptic number.

1167110112 is a gapful number since it is divisible by the number (12) 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 1167110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963253376).

1167110112 is an abundant number, since it is smaller than the sum of its proper divisors (2759396640).

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

1167110112 is a wasteful number, since it uses less digits than its factorization.

1167110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 21.

The square root of 1167110112 is about 34162.9933114767. The cubic root of 1167110112 is about 1052.8599617706.

Adding to 1167110112 its reverse (2110117611), we get a palindrome (3277227723).

The spelling of 1167110112 in words is "one billion, one hundred sixty-seven million, one hundred ten thousand, one hundred twelve".