120727120 has 40 divisors (see below), whose sum is σ = 281399400. Its totient is φ = 48168960.

The previous prime is 120727109. The next prime is 120727129. The reversal of 120727120 is 21727021.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 92083216 = 5352^2 + 9596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 120727091 and 120727100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120727129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34240 + ... + 37600.

It is an arithmetic number, because the mean of its divisors is an integer number (7034985).

Almost surely, 2^120727120 is an apocalyptic number.

120727120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120727120 is an abundant number, since it is smaller than the sum of its proper divisors (160672280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120727120 is a wasteful number, since it uses less digits than its factorization.

120727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 120727120 is about 10987.5893625490. The cubic root of 120727120 is about 494.2366494975.

Subtracting from 120727120 its reverse (21727021), we obtain a palindrome (99000099).

The spelling of 120727120 in words is "one hundred twenty million, seven hundred twenty-seven thousand, one hundred twenty".