120827601 has 24 divisors (see below), whose sum is σ = 181120680. Its totient is φ = 77527296.

The previous prime is 120827563. The next prime is 120827611. The reversal of 120827601 is 106728021.

It can be written as a sum of positive squares in 4 ways, for example, as 6765201 + 114062400 = 2601^2 + 10680^2 .

It is not a de Polignac number, because 120827601 - 2¹³ = 120819409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120827611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118771 + ... + 119783.

It is an arithmetic number, because the mean of its divisors is an integer number (7546695).

Almost surely, 2^120827601 is an apocalyptic number.

It is an amenable number.

120827601 is a deficient number, since it is larger than the sum of its proper divisors (60293079).

120827601 is a wasteful number, since it uses less digits than its factorization.

120827601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120827601 is about 10992.1608885605. The cubic root of 120827601 is about 494.3737289470.

It can be divided in two parts, 12082 and 7601, that added together give a 9-th power (19683 = 3⁹).

The spelling of 120827601 in words is "one hundred twenty million, eight hundred twenty-seven thousand, six hundred one".