103312112112 has 120 divisors (see below), whose sum is σ = 315901196208. Its totient is φ = 31258444800.

The previous prime is 103312112069. The next prime is 103312112129. The reversal of 103312112112 is 211211213301.

103312112112 is a `hidden beast` number, since 10 + 331 + 211 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984412 + ... + 1084292.

Almost surely, 2^103312112112 is an apocalyptic number.

103312112112 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 103312112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950598104).

103312112112 is an abundant number, since it is smaller than the sum of its proper divisors (212589084096).

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

103312112112 is a wasteful number, since it uses less digits than its factorization.

103312112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100559 (or 100550 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103312112112 its reverse (211211213301), we get a palindrome (314523325413).

The spelling of 103312112112 in words is "one hundred three billion, three hundred twelve million, one hundred twelve thousand, one hundred twelve".