120500287218400 has 144 divisors (see below), whose sum is σ = 296665697180160. Its totient is φ = 47791866931200.

The previous prime is 120500287218379. The next prime is 120500287218407. The reversal of 120500287218400 is 4812782005021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120500287218407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 169215090 + ... + 169925710.

It is an arithmetic number, because the mean of its divisors is an integer number (2060178452640).

Almost surely, 2^{120500287218400} is an apocalyptic number.

120500287218400 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 120500287218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148332848590080).

120500287218400 is an abundant number, since it is smaller than the sum of its proper divisors (176165409961760).

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

120500287218400 is a wasteful number, since it uses less digits than its factorization.

120500287218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712437 (or 712424 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 120500287218400 in words is "one hundred twenty trillion, five hundred billion, two hundred eighty-seven million, two hundred eighteen thousand, four hundred".