120557171505501 has 12 divisors (see below), whose sum is σ = 184381556420412. Its totient is φ = 75643715454336.

The previous prime is 120557171505479. The next prime is 120557171505577. The reversal of 120557171505501 is 105505171755021.

120557171505501 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 71 + 71 + 5 + 0 + 5 + 501 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57787758534276 + 62769412971225 = 7601826^2 + 7922715^2 .

It is not a de Polignac number, because 120557171505501 - 2¹⁵ = 120557171472733 is a prime.

It is a super-2 number, since 2×120557171505501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120657171505501) 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, 393977684506 + ... + 393977684811.

It is an arithmetic number, because the mean of its divisors is an integer number (15365129701701).

Almost surely, 2^{120557171505501} is an apocalyptic number.

It is an amenable number.

120557171505501 is a deficient number, since it is larger than the sum of its proper divisors (63824384914911).

120557171505501 is a wasteful number, since it uses less digits than its factorization.

120557171505501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787955369340 (or 787955369337 counting only the distinct ones).

The product of its (nonzero) digits is 306250, while the sum is 45.

The spelling of 120557171505501 in words is "one hundred twenty trillion, five hundred fifty-seven billion, one hundred seventy-one million, five hundred five thousand, five hundred one".