120006816401 has 16 divisors (see below), whose sum is σ = 122106976848. Its totient is φ = 117927936000.

The previous prime is 120006816373. The next prime is 120006816409. The reversal of 120006816401 is 104618600021.

It is a Cunningham number, because it is equal to 346420²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 81099648400 + 38907168001 = 284780^2 + 197249^2 .

It is a cyclic number.

It is not a de Polignac number, because 120006816401 - 2⁶ = 120006816337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120006816409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285691 + ... + 7302143.

It is an arithmetic number, because the mean of its divisors is an integer number (7631686053).

Almost surely, 2^120006816401 is an apocalyptic number.

It is an amenable number.

120006816401 is a deficient number, since it is larger than the sum of its proper divisors (2100160447).

120006816401 is a wasteful number, since it uses less digits than its factorization.

120006816401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 120006816401 in words is "one hundred twenty billion, six million, eight hundred sixteen thousand, four hundred one".