120140113144001 has 16 divisors (see below), whose sum is σ = 125439745570128. Its totient is φ = 114949425024000.

The previous prime is 120140113143991. The next prime is 120140113144067. The reversal of 120140113144001 is 100441311041021.

It can be written as a sum of positive squares in 8 ways, for example, as 50431373265025 + 69708739878976 = 7101505^2 + 8349176^2 .

It is a cyclic number.

It is not a de Polignac number, because 120140113144001 - 2⁶ = 120140113143937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120140113114001) 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, 3146261 + ... + 15817053.

It is an arithmetic number, because the mean of its divisors is an integer number (7839984098133).

Almost surely, 2^{120140113144001} is an apocalyptic number.

It is an amenable number.

120140113144001 is a deficient number, since it is larger than the sum of its proper divisors (5299632426127).

120140113144001 is a wasteful number, since it uses less digits than its factorization.

120140113144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675092.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 120140113144001 its reverse (100441311041021), we get a palindrome (220581424185022).

The spelling of 120140113144001 in words is "one hundred twenty trillion, one hundred forty billion, one hundred thirteen million, one hundred forty-four thousand, one".