123098112 has 198 divisors, whose sum is σ = 385274058. Its totient is φ = 37822464.

The previous prime is 123098111. The next prime is 123098137. The reversal of 123098112 is 211890321.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 3326976 = 10944^2 + 1824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123098111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3326958 + ... + 3326994.

Almost surely, 2^123098112 is an apocalyptic number.

123098112 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 123098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192637029).

123098112 is an abundant number, since it is smaller than the sum of its proper divisors (262175946).

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

123098112 is a wasteful number, since it uses less digits than its factorization.

123098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 123098112 is about 11094.9588552640. The cubic root of 123098112 is about 497.4511784284.

The spelling of 123098112 in words is "one hundred twenty-three million, ninety-eight thousand, one hundred twelve".