120348798529600 has 63 divisors (see below), whose sum is σ = 296134342143517. Its totient is φ = 48139343886080.

The previous prime is 120348798529559. The next prime is 120348798529639. The reversal of 120348798529600 is 6925897843021.

The square root of 120348798529600 is 10970360.

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., 43325567470656 + 77023231058944 = 6582216^2 + 8776288^2 .

It is a super-2 number, since 2×120348798529600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 438677271 + ... + 438951529.

It is a 1-persistent number, because it is pandigital, but 2⋅120348798529600 = 240697597059200 is not.

Almost surely, 2^{120348798529600} is an apocalyptic number.

120348798529600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120348798529600 is the 10970360-th square number.

It is an amenable number.

120348798529600 is an abundant number, since it is smaller than the sum of its proper divisors (175785543613917).

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

120348798529600 is an frugal number, since it uses more digits than its factorization.

120348798529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548540 (or 274266 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

120348798529600 divided by its sum of digits (64) gives a square (1880449977025 = 1371295²).

The spelling of 120348798529600 in words is "one hundred twenty trillion, three hundred forty-eight billion, seven hundred ninety-eight million, five hundred twenty-nine thousand, six hundred".