120027384401401 has 45 divisors (see below), whose sum is σ = 128864901408409. Its totient is φ = 111795829410752.

The previous prime is 120027384401389. The next prime is 120027384401417. The reversal of 120027384401401 is 104104483720021.

The square root of 120027384401401 is 10955701.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 37250869015801 + 82776515385600 = 6103349^2 + 9098160^2 .

It is not a de Polignac number, because 120027384401401 - 2¹⁷ = 120027384270329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120027384401461) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 528754997250 + ... + 528754997476.

Almost surely, 2^{120027384401401} is an apocalyptic number.

120027384401401 is the 10955701-st square number.

120027384401401 is the 5477851-st centered octagonal number.

It is an amenable number.

120027384401401 is a deficient number, since it is larger than the sum of its proper divisors (8837517007008).

120027384401401 is an frugal number, since it uses more digits than its factorization.

120027384401401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 120027384401401 in words is "one hundred twenty trillion, twenty-seven billion, three hundred eighty-four million, four hundred one thousand, four hundred one".