30042123242400 has 252 divisors, whose sum is σ = 109960200170982. Its totient is φ = 8011232709120.

The previous prime is 30042123242321. The next prime is 30042123242419. The reversal of 30042123242400 is 424232124003.

30042123242400 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 2 + 1 + 232 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22858458226704 + 7183665015696 = 4781052^2 + 2680236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 25173079 + ... + 26339478.

Almost surely, 2^{30042123242400} is an apocalyptic number.

30042123242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30042123242400 is an abundant number, since it is smaller than the sum of its proper divisors (79918076928582).

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

30042123242400 is an equidigital number, since it uses as much as digits as its factorization.

30042123242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51512595 (or 51512567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30042123242400 its reverse (424232124003), we get a palindrome (30466355366403).

The spelling of 30042123242400 in words is "thirty trillion, forty-two billion, one hundred twenty-three million, two hundred forty-two thousand, four hundred".