120841749504 has 704 divisors, whose sum is σ = 425990853120. Its totient is φ = 33124515840.

The previous prime is 120841749421. The next prime is 120841749529. The reversal of 120841749504 is 405947148021.

120841749504 is a `hidden beast` number, since 1 + 20 + 84 + 1 + 7 + 49 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120841749504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769692594 + ... + 769692750.

Almost surely, 2^120841749504 is an apocalyptic number.

120841749504 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 120841749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212995426560).

120841749504 is an abundant number, since it is smaller than the sum of its proper divisors (305149103616).

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

120841749504 is a wasteful number, since it uses less digits than its factorization.

120841749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 120841749504 in words is "one hundred twenty billion, eight hundred forty-one million, seven hundred forty-nine thousand, five hundred four".