120201122120 has 64 divisors (see below), whose sum is σ = 282548833200. Its totient is φ = 45962828800.

The previous prime is 120201122117. The next prime is 120201122123. The reversal of 120201122120 is 21221102021.

It is an interprime number because it is at equal distance from previous prime (120201122117) and next prime (120201122123).

It can be written as a sum of positive squares in 8 ways, for example, as 93965545444 + 26235576676 = 306538^2 + 161974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120201122095 and 120201122104.

It is not an unprimeable number, because it can be changed into a prime (120201122123) 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, 395819 + ... + 630138.

Almost surely, 2^120201122120 is an apocalyptic number.

120201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201122120 is an abundant number, since it is smaller than the sum of its proper divisors (162347711080).

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

120201122120 is a wasteful number, since it uses less digits than its factorization.

120201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026098 (or 1026094 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120201122120 its reverse (21221102021), we get a palindrome (141422224141).

The spelling of 120201122120 in words is "one hundred twenty billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".