120200112010314 has 128 divisors (see below), whose sum is σ = 312893991014400. Its totient is φ = 33495354446400.

The previous prime is 120200112010273. The next prime is 120200112010367. The reversal of 120200112010314 is 413010211002021.

120200112010314 is a `hidden beast` number, since 1 + 20 + 200 + 1 + 120 + 10 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 20937694 + ... + 26053545.

It is an arithmetic number, because the mean of its divisors is an integer number (2444484304800).

Almost surely, 2^{120200112010314} is an apocalyptic number.

120200112010314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120200112010314 is an abundant number, since it is smaller than the sum of its proper divisors (192693879004086).

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

120200112010314 is a wasteful number, since it uses less digits than its factorization.

120200112010314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46991425 (or 46991419 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120200112010314 its reverse (413010211002021), we get a palindrome (533210323012335).

The spelling of 120200112010314 in words is "one hundred twenty trillion, two hundred billion, one hundred twelve million, ten thousand, three hundred fourteen".