120345242400 has 144 divisors (see below), whose sum is σ = 435248704800. Its totient is φ = 32092058880.

The previous prime is 120345242377. The next prime is 120345242417. The reversal of 120345242400 is 4242543021.

120345242400 is a `hidden beast` number, since 1 + 203 + 4 + 52 + 4 + 2 + 400 = 666.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764170 + ... + 2807369.

It is an arithmetic number, because the mean of its divisors is an integer number (3022560450).

Almost surely, 2^120345242400 is an apocalyptic number.

120345242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120345242400 is an abundant number, since it is smaller than the sum of its proper divisors (314903462400).

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

120345242400 is a wasteful number, since it uses less digits than its factorization.

120345242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571568 (or 5571549 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 120345242400 its reverse (4242543021), we get a palindrome (124587785421).

The spelling of 120345242400 in words is "one hundred twenty billion, three hundred forty-five million, two hundred forty-two thousand, four hundred".