120065587200 has 1440 divisors, whose sum is σ = 510946516080. Its totient is φ = 27603763200.

The previous prime is 120065587199. The next prime is 120065587247. The reversal of 120065587200 is 2785560021.

It is a happy number.

120065587200 is a `hidden beast` number, since 12 + 0 + 0 + 65 + 587 + 2 + 0 + 0 = 666.

120065587200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 916531135 + ... + 916531265.

Almost surely, 2^120065587200 is an apocalyptic number.

120065587200 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 120065587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255473258040).

120065587200 is an abundant number, since it is smaller than the sum of its proper divisors (390880928880).

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

120065587200 is a wasteful number, since it uses less digits than its factorization.

120065587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 120065587200 in words is "one hundred twenty billion, sixty-five million, five hundred eighty-seven thousand, two hundred".