120572148886225 has 9 divisors (see below), whose sum is σ = 149509532698267. Its totient is φ = 96457675186840.

The previous prime is 120572148886213. The next prime is 120572148886283. The reversal of 120572148886225 is 522688841275021.

The square root of 120572148886225 is 10980535.

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., 43405973599041 + 77166175287184 = 6588321^2 + 8784428^2 .

It is not a de Polignac number, because 120572148886225 - 2¹¹ = 120572148884177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53804622 + ... + 56000728.

Almost surely, 2^{120572148886225} is an apocalyptic number.

120572148886225 is the 10980535-th square number.

120572148886225 is the 5490268-th centered octagonal number.

It is an amenable number.

120572148886225 is a deficient number, since it is larger than the sum of its proper divisors (28937383812042).

120572148886225 is an frugal number, since it uses more digits than its factorization.

120572148886225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392224 (or 2196112 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 61.

The spelling of 120572148886225 in words is "one hundred twenty trillion, five hundred seventy-two billion, one hundred forty-eight million, eight hundred eighty-six thousand, two hundred twenty-five".