123626112 has 64 divisors (see below), whose sum is σ = 331867200. Its totient is φ = 40771584.

The previous prime is 123626089. The next prime is 123626117. The reversal of 123626112 is 211626321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123626117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35589 + ... + 38907.

It is an arithmetic number, because the mean of its divisors is an integer number (5185425).

Almost surely, 2^123626112 is an apocalyptic number.

123626112 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 123626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165933600).

123626112 is an abundant number, since it is smaller than the sum of its proper divisors (208241088).

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

123626112 is an equidigital number, since it uses as much as digits as its factorization.

123626112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3421 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 123626112 is about 11118.7279848011. The cubic root of 123626112 is about 498.1613966962.

The spelling of 123626112 in words is "one hundred twenty-three million, six hundred twenty-six thousand, one hundred twelve".