120406729 has 3 divisors (see below), whose sum is σ = 120417703. Its totient is φ = 120395756.

The previous prime is 120406681. The next prime is 120406739. The reversal of 120406729 is 927604021.

The square root of 120406729 is 10973.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 67815225 + 52591504 = 8235^2 + 7252^2 .

It is not a de Polignac number, because 120406729 - 2¹⁷ = 120275657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120406729.

It is not an unprimeable number, because it can be changed into a prime (120406739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5487 + ... + 16459.

Almost surely, 2^120406729 is an apocalyptic number.

120406729 is the 10973-rd square number.

120406729 is the 5487-th centered octagonal number.

It is an amenable number.

120406729 is a deficient number, since it is larger than the sum of its proper divisors (10974).

120406729 is an frugal number, since it uses more digits than its factorization.

120406729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 120406729 is about 493.7990530980.

It can be divided in two parts, 12040 and 6729, that added together give a square (18769 = 137²).

The spelling of 120406729 in words is "one hundred twenty million, four hundred six thousand, seven hundred twenty-nine".