112124651100 has 288 divisors, whose sum is σ = 405979348992. Its totient is φ = 23211360000.

The previous prime is 112124651083. The next prime is 112124651117. The reversal of 112124651100 is 1156421211.

112124651100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112124651083) and next prime (112124651117).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6251145 + ... + 6269055.

Almost surely, 2^112124651100 is an apocalyptic number.

112124651100 is a gapful number since it is divisible by the number (10) 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 112124651100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202989674496).

112124651100 is an abundant number, since it is smaller than the sum of its proper divisors (293854697892).

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

112124651100 is a wasteful number, since it uses less digits than its factorization.

112124651100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18217 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 112124651100 in words is "one hundred twelve billion, one hundred twenty-four million, six hundred fifty-one thousand, one hundred".