123113700 has 216 divisors, whose sum is σ = 411301800. Its totient is φ = 30750720.

The previous prime is 123113699. The next prime is 123113701. The reversal of 123113700 is 7311321.

It is an interprime number because it is at equal distance from previous prime (123113699) and next prime (123113701).

It can be written as a sum of positive squares in 12 ways, for example, as 36288576 + 86825124 = 6024^2 + 9318^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383256 + ... + 1383344.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^123113700 is an apocalyptic number.

123113700 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 123113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650900).

123113700 is an abundant number, since it is smaller than the sum of its proper divisors (288188100).

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

123113700 is a wasteful number, since it uses less digits than its factorization.

123113700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 123113700 is about 11095.6613142255. The cubic root of 123113700 is about 497.4721750723.

The spelling of 123113700 in words is "one hundred twenty-three million, one hundred thirteen thousand, seven hundred".