120493814016 has 288 divisors, whose sum is σ = 345553407360. Its totient is φ = 37196070912.

The previous prime is 120493813997. The next prime is 120493814027. The reversal of 120493814016 is 610418394021.

120493814016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120493814016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60155671 + ... + 60157673.

It is an arithmetic number, because the mean of its divisors is an integer number (1199838220).

Almost surely, 2^120493814016 is an apocalyptic number.

120493814016 is a gapful number since it is divisible by the number (16) 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 120493814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172776703680).

120493814016 is an abundant number, since it is smaller than the sum of its proper divisors (225059593344).

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

120493814016 is a wasteful number, since it uses less digits than its factorization.

120493814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 120493814016 in words is "one hundred twenty billion, four hundred ninety-three million, eight hundred fourteen thousand, sixteen".