120460435200 has 864 divisors, whose sum is σ = 514617062400. Its totient is φ = 26999930880.

The previous prime is 120460435153. The next prime is 120460435223. The reversal of 120460435200 is 2534064021.

120460435200 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 604 + 3 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64107861 + ... + 64109739.

It is an arithmetic number, because the mean of its divisors is an integer number (595621600).

Almost surely, 2^120460435200 is an apocalyptic number.

120460435200 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 120460435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257308531200).

120460435200 is an abundant number, since it is smaller than the sum of its proper divisors (394156627200).

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

120460435200 is a wasteful number, since it uses less digits than its factorization.

120460435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 120460435200 its reverse (2534064021), we get a palindrome (122994499221).

The spelling of 120460435200 in words is "one hundred twenty billion, four hundred sixty million, four hundred thirty-five thousand, two hundred".