120201111110120 has 64 divisors (see below), whose sum is σ = 278579560044240. Its totient is φ = 46648591718400.

The previous prime is 120201111110083. The next prime is 120201111110123. The reversal of 120201111110120 is 21011111102021.

It can be written as a sum of positive squares in 8 ways, for example, as 2014077549124 + 118187033560996 = 1419182^2 + 10871386^2 .

It is a super-2 number, since 2×120201111110120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120201111110095 and 120201111110104.

It is not an unprimeable number, because it can be changed into a prime (120201111110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202171007 + ... + 202764686.

Almost surely, 2^{120201111110120} is an apocalyptic number.

120201111110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201111110120 is an abundant number, since it is smaller than the sum of its proper divisors (158378448934120).

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

120201111110120 is a wasteful number, since it uses less digits than its factorization.

120201111110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404935926 (or 404935922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 120201111110120 its reverse (21011111102021), we get a palindrome (141212222212141).

The spelling of 120201111110120 in words is "one hundred twenty trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty".