120085199860416 has 896 divisors, whose sum is σ = 400632728832000. Its totient is φ = 30970020888576.

The previous prime is 120085199860361. The next prime is 120085199860469. The reversal of 120085199860416 is 614068991580021.

It is a self number, because there is not a number n which added to its sum of digits gives 120085199860416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40665491196 + ... + 40665494148.

It is an arithmetic number, because the mean of its divisors is an integer number (447134742000).

Almost surely, 2^{120085199860416} is an apocalyptic number.

120085199860416 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 120085199860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200316364416000).

120085199860416 is an abundant number, since it is smaller than the sum of its proper divisors (280547528971584).

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

120085199860416 is a wasteful number, since it uses less digits than its factorization.

120085199860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 120085199860416 in words is "one hundred twenty trillion, eighty-five billion, one hundred ninety-nine million, eight hundred sixty thousand, four hundred sixteen".