1100012112 has 30 divisors (see below), whose sum is σ = 3078506522. Its totient is φ = 366670656.

The previous prime is 1100012093. The next prime is 1100012113. The reversal of 1100012112 is 2112100011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1082673216 + 17338896 = 32904^2 + 4164^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100012094 and 1100012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012113) 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 5 ways as a sum of consecutive naturals, for example, 3819343 + ... + 3819630.

Almost surely, 2^1100012112 is an apocalyptic number.

1100012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100012112 is an abundant number, since it is smaller than the sum of its proper divisors (1978494410).

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

1100012112 is a wasteful number, since it uses less digits than its factorization.

1100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638987 (or 7638978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100012112 is about 33166.4304983216. The cubic root of 1100012112 is about 1032.2839042233.

Adding to 1100012112 its reverse (2112100011), we get a palindrome (3212112123).

The spelling of 1100012112 in words is "one billion, one hundred million, twelve thousand, one hundred twelve".