120822129415744 has 21 divisors (see below), whose sum is σ = 239756587556097. Its totient is φ = 60411020740224.

The previous prime is 120822129415661. The next prime is 120822129415747. The reversal of 120822129415744 is 447514921228021.

The square root of 120822129415744 is 10991912.

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

It can be written as a sum of positive squares in only one way, i.e., 116603542049344 + 4218587366400 = 10798312^2 + 2053920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120822129415691 and 120822129415700.

It is not an unprimeable number, because it can be changed into a prime (120822129415747) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 87248302 + ... + 88622290.

Almost surely, 2^{120822129415744} is an apocalyptic number.

120822129415744 is the 10991912-nd square number.

It is an amenable number.

120822129415744 is a deficient number, since it is larger than the sum of its proper divisors (118934458140353).

120822129415744 is an frugal number, since it uses more digits than its factorization.

120822129415744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747990 (or 1373991 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 120822129415744 in words is "one hundred twenty trillion, eight hundred twenty-two billion, one hundred twenty-nine million, four hundred fifteen thousand, seven hundred forty-four".