120242014802064 has 75 divisors (see below), whose sum is σ = 348016418413257. Its totient is φ = 40080540014784.

The previous prime is 120242014802059. The next prime is 120242014802089. The reversal of 120242014802064 is 460208410242021.

The square root of 120242014802064 is 10965492.

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

120242014802064 is a `hidden beast` number, since 1 + 20 + 2 + 420 + 1 + 4 + 8 + 0 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64909125824400 + 55332888977664 = 8056620^2 + 7438608^2 .

It is a super-3 number, since 3×120242014802064³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 394605414 + ... + 394910010.

Almost surely, 2^{120242014802064} is an apocalyptic number.

120242014802064 is the 10965492-nd square number.

It is an amenable number.

120242014802064 is an abundant number, since it is smaller than the sum of its proper divisors (227774403611193).

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

120242014802064 is an frugal number, since it uses more digits than its factorization.

120242014802064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609214 (or 304602 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

120242014802064 divided by its sum of digits (36) gives a square (3340055966724 = 1827582²).

The spelling of 120242014802064 in words is "one hundred twenty trillion, two hundred forty-two billion, fourteen million, eight hundred two thousand, sixty-four".