120500209617984 has 1792 divisors, whose sum is σ = 444373891153920. Its totient is φ = 31660089753600.

The previous prime is 120500209617917. The next prime is 120500209618027. The reversal of 120500209617984 is 489716902005021.

It is a happy number.

120500209617984 is a `hidden beast` number, since 1 + 2 + 0 + 500 + 2 + 0 + 9 + 61 + 79 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120500209617984.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126443031652 + ... + 126443032604.

It is an arithmetic number, because the mean of its divisors is an integer number (247976501760).

Almost surely, 2^{120500209617984} is an apocalyptic number.

120500209617984 is a gapful number since it is divisible by the number (14) 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 120500209617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222186945576960).

120500209617984 is an abundant number, since it is smaller than the sum of its proper divisors (323873681535936).

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

120500209617984 is an equidigital number, since it uses as much as digits as its factorization.

120500209617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 120500209617984 in words is "one hundred twenty trillion, five hundred billion, two hundred nine million, six hundred seventeen thousand, nine hundred eighty-four".