123042124800 has 1584 divisors, whose sum is σ = 547391250432. Its totient is φ = 25790054400.

The previous prime is 123042124679. The next prime is 123042124811. The reversal of 123042124800 is 8421240321.

123042124800 is a `hidden beast` number, since 1 + 230 + 421 + 2 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149926347 + ... + 1149926453.

Almost surely, 2^123042124800 is an apocalyptic number.

123042124800 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 123042124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273695625216).

123042124800 is an abundant number, since it is smaller than the sum of its proper divisors (424349125632).

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

123042124800 is a wasteful number, since it uses less digits than its factorization.

123042124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 123042124800 in words is "one hundred twenty-three billion, forty-two million, one hundred twenty-four thousand, eight hundred".