1012112112 has 80 divisors (see below), whose sum is σ = 2880708480. Its totient is φ = 303648000.

The previous prime is 1012112099. The next prime is 1012112141. The reversal of 1012112112 is 2112112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43839 + ... + 62817.

It is an arithmetic number, because the mean of its divisors is an integer number (36008856).

Almost surely, 2^1012112112 is an apocalyptic number.

1012112112 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 1012112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440354240).

1012112112 is an abundant number, since it is smaller than the sum of its proper divisors (1868596368).

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

1012112112 is a wasteful number, since it uses less digits than its factorization.

1012112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19102 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1012112112 is about 31813.7094976364. The cubic root of 1012112112 is about 1004.0211791112.

Adding to 1012112112 its reverse (2112112101), we get a palindrome (3124224213).

It can be divided in two parts, 101 and 2112112, that multiplied together give a palindrome (213323312).

The spelling of 1012112112 in words is "one billion, twelve million, one hundred twelve thousand, one hundred twelve".