120318412550625 has 75 divisors (see below), whose sum is σ = 224601353867253. Its totient is φ = 64168503750000.

The previous prime is 120318412550617. The next prime is 120318412550627. The reversal of 120318412550625 is 526055214813021.

The square root of 120318412550625 is 10968975.

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

120318412550625 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 8 + 4 + 12 + 5 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9432963543969 + 110885449006656 = 3071313^2 + 10530216^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 120318412550625 - 2³ = 120318412550617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120318412550627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2467995000 + ... + 2468043750.

Almost surely, 2^{120318412550625} is an apocalyptic number.

120318412550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120318412550625 is the 10968975-th square number.

120318412550625 is the 5484488-th centered octagonal number.

It is an amenable number.

120318412550625 is a deficient number, since it is larger than the sum of its proper divisors (104282941316628).

120318412550625 is an frugal number, since it uses more digits than its factorization.

120318412550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97534 (or 48759 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 120318412550625 in words is "one hundred twenty trillion, three hundred eighteen billion, four hundred twelve million, five hundred fifty thousand, six hundred twenty-five".