123114816 has 280 divisors, whose sum is σ = 424866816. Its totient is φ = 34836480.

The previous prime is 123114809. The next prime is 123114839. The reversal of 123114816 is 618411321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123114816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969345 + ... + 969471.

Almost surely, 2^123114816 is an apocalyptic number.

123114816 is a gapful number since it is divisible by the number (16) 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 123114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212433408).

123114816 is an abundant number, since it is smaller than the sum of its proper divisors (301752000).

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

123114816 is a wasteful number, since it uses less digits than its factorization.

123114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 123114816 is about 11095.7116040387. The cubic root of 123114816 is about 497.4736782283.

The spelling of 123114816 in words is "one hundred twenty-three million, one hundred fourteen thousand, eight hundred sixteen".