120351649513680 has 480 divisors, whose sum is σ = 446466416716320. Its totient is φ = 28872016773120.

The previous prime is 120351649513639. The next prime is 120351649513703. The reversal of 120351649513680 is 86315946153021.

120351649513680 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 5 + 1 + 6 + 49 + 513 + 6 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 58696866086544 + 61654783427136 = 7661388^2 + 7852056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61267722 + ... + 63201558.

It is an arithmetic number, because the mean of its divisors is an integer number (930138368159).

Almost surely, 2^{120351649513680} is an apocalyptic number.

120351649513680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120351649513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223233208358160).

120351649513680 is an abundant number, since it is smaller than the sum of its proper divisors (326114767202640).

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

120351649513680 is a wasteful number, since it uses less digits than its factorization.

120351649513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934039 (or 1934030 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 120351649513680 in words is "one hundred twenty trillion, three hundred fifty-one billion, six hundred forty-nine million, five hundred thirteen thousand, six hundred eighty".