120225853696 has 81 divisors (see below), whose sum is σ = 260018226741. Its totient is φ = 55455568896.

The previous prime is 120225853691. The next prime is 120225853717. The reversal of 120225853696 is 696358522021.

The square root of 120225853696 is 346736.

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., 17784889600 + 102440964096 = 133360^2 + 320064^2 .

It is not an unprimeable number, because it can be changed into a prime (120225853691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72120255 + ... + 72121921.

Almost surely, 2^120225853696 is an apocalyptic number.

120225853696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120225853696 is the 346736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120225853696

120225853696 is an abundant number, since it is smaller than the sum of its proper divisors (139792373045).

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

120225853696 is an frugal number, since it uses more digits than its factorization.

120225853696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 120225853696 by its sum of digits (49), we get a square (5891066831104 = 2427152²).

The spelling of 120225853696 in words is "one hundred twenty billion, two hundred twenty-five million, eight hundred fifty-three thousand, six hundred ninety-six".