120000001112001 has 12 divisors (see below), whose sum is σ = 173466976695012. Its totient is φ = 79938319931136.

The previous prime is 120000001111999. The next prime is 120000001112003. The reversal of 120000001112001 is 100211100000021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120000001111999) and next prime (120000001112003).

It can be written as a sum of positive squares in 2 ways, for example, as 118101252153600 + 1898748958401 = 10867440^2 + 1377951^2 .

It is not a de Polignac number, because 120000001112001 - 2¹ = 120000001111999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120000001112003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5140055196 + ... + 5140078541.

It is an arithmetic number, because the mean of its divisors is an integer number (14455581391251).

Almost surely, 2^{120000001112001} is an apocalyptic number.

It is an amenable number.

120000001112001 is a deficient number, since it is larger than the sum of its proper divisors (53466975583011).

120000001112001 is a wasteful number, since it uses less digits than its factorization.

120000001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280135040 (or 10280135037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120000001112001 its reverse (100211100000021), we get a palindrome (220211101112022).

The spelling of 120000001112001 in words is "one hundred twenty trillion, one million, one hundred twelve thousand, one".