120985924503600 has 1440 divisors, whose sum is σ = 474343873977600. Its totient is φ = 29271418675200.

The previous prime is 120985924503593. The next prime is 120985924503601. The reversal of 120985924503600 is 6305429589021.

120985924503600 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 8 + 5 + 9 + 24 + 5 + 0 + 3 + 600 = 666.

It is a super-3 number, since 3×120985924503600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120985924503601) 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 287 ways as a sum of consecutive naturals, for example, 25583826036 + ... + 25583830764.

It is an arithmetic number, because the mean of its divisors is an integer number (329405468040).

Almost surely, 2^{120985924503600} is an apocalyptic number.

120985924503600 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 120985924503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237171936988800).

120985924503600 is an abundant number, since it is smaller than the sum of its proper divisors (353357949474000).

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

120985924503600 is a wasteful number, since it uses less digits than its factorization.

120985924503600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 120985924503600 in words is "one hundred twenty trillion, nine hundred eighty-five billion, nine hundred twenty-four million, five hundred three thousand, six hundred".