120120112122001 has 8 divisors (see below), whose sum is σ = 127731863740104. Its totient is φ = 112569011911680.

The previous prime is 120120112121969. The next prime is 120120112122019. The reversal of 120120112122001 is 100221211021021.

It can be written as a sum of positive squares in 4 ways, for example, as 24692710118976 + 95427402003025 = 4969176^2 + 9768695^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120120112122001 - 2⁵ = 120120112121969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120112122041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15162847860 + ... + 15162855781.

It is an arithmetic number, because the mean of its divisors is an integer number (15966482967513).

Almost surely, 2^{120120112122001} is an apocalyptic number.

It is an amenable number.

120120112122001 is a deficient number, since it is larger than the sum of its proper divisors (7611751618103).

120120112122001 is a wasteful number, since it uses less digits than its factorization.

120120112122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325703891.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120120112122001 its reverse (100221211021021), we get a palindrome (220341323143022).

The spelling of 120120112122001 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, one".