123111072 has 144 divisors (see below), whose sum is σ = 405699840. Its totient is φ = 34684416.

The previous prime is 123111047. The next prime is 123111073. The reversal of 123111072 is 270111321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (123111073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158878 + ... + 159650.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2^123111072 is an apocalyptic number.

123111072 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 123111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849920).

123111072 is an abundant number, since it is smaller than the sum of its proper divisors (282588768).

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

123111072 is a wasteful number, since it uses less digits than its factorization.

123111072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 123111072 is about 11095.5428889262. The cubic root of 123111072 is about 497.4686353466.

Adding to 123111072 its reverse (270111321), we get a palindrome (393222393).

The spelling of 123111072 in words is "one hundred twenty-three million, one hundred eleven thousand, seventy-two".