123066400 has 72 divisors (see below), whose sum is σ = 318143700. Its totient is φ = 46325760.

The previous prime is 123066397. The next prime is 123066413. The reversal of 123066400 is 4660321.

It can be written as a sum of positive squares in 6 ways, for example, as 83978896 + 39087504 = 9164^2 + 6252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9076 + ... + 18124.

Almost surely, 2^123066400 is an apocalyptic number.

123066400 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 123066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159071850).

123066400 is an abundant number, since it is smaller than the sum of its proper divisors (195077300).

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

123066400 is a wasteful number, since it uses less digits than its factorization.

123066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 123066400 is about 11093.5296456989. The cubic root of 123066400 is about 497.4084576903.

The spelling of 123066400 in words is "one hundred twenty-three million, sixty-six thousand, four hundred".