120881351400417 has 6 divisors (see below), whose sum is σ = 174606396467282. Its totient is φ = 80587567600272.

The previous prime is 120881351400347. The next prime is 120881351400451. The reversal of 120881351400417 is 714004153188021.

120881351400417 is a `hidden beast` number, since 1 + 2 + 0 + 88 + 13 + 5 + 140 + 0 + 417 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112224551644881 + 8656799755536 = 10593609^2 + 2942244^2 .

It is not a de Polignac number, because 120881351400417 - 2²⁶ = 120881284291553 is a prime.

It is a super-2 number, since 2×120881351400417² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120881351400487) 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 5 ways as a sum of consecutive naturals, for example, 6715630633348 + ... + 6715630633365.

Almost surely, 2^{120881351400417} is an apocalyptic number.

It is an amenable number.

120881351400417 is a deficient number, since it is larger than the sum of its proper divisors (53725045066865).

120881351400417 is a wasteful number, since it uses less digits than its factorization.

120881351400417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431261266719 (or 13431261266716 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 120881351400417 in words is "one hundred twenty trillion, eight hundred eighty-one billion, three hundred fifty-one million, four hundred thousand, four hundred seventeen".