120254287729 has 9 divisors (see below), whose sum is σ = 120663833121. Its totient is φ = 119846131200.

The previous prime is 120254287711. The next prime is 120254287757. The reversal of 120254287729 is 927782452021.

It is a happy number.

The square root of 120254287729 is 346777.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93211143025 + 27043144704 = 305305^2 + 164448^2 .

It is not a de Polignac number, because 120254287729 - 2²³ = 120245899121 is a prime.

It is a super-2 number, since 2×120254287729² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120254284729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200090029 + ... + 200090629.

It is an arithmetic number, because the mean of its divisors is an integer number (13407092569).

Almost surely, 2^120254287729 is an apocalyptic number.

120254287729 is the 346777-th square number.

120254287729 is the 173389-th centered octagonal number.

It is an amenable number.

120254287729 is a deficient number, since it is larger than the sum of its proper divisors (409545392).

120254287729 is an frugal number, since it uses more digits than its factorization.

120254287729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 120254287729 by its sum of digits (49), we get a square (5892460098721 = 2427439²).

The spelling of 120254287729 in words is "one hundred twenty billion, two hundred fifty-four million, two hundred eighty-seven thousand, seven hundred twenty-nine".