120350767680 has 1344 divisors, whose sum is σ = 514053734400. Its totient is φ = 26266705920.

The previous prime is 120350767661. The next prime is 120350767697. The reversal of 120350767680 is 86767053021.

120350767680 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 507 + 67 + 6 + 80 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 947643777 + ... + 947643903.

Almost surely, 2^120350767680 is an apocalyptic number.

120350767680 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 120350767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257026867200).

120350767680 is an abundant number, since it is smaller than the sum of its proper divisors (393702966720).

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

120350767680 is a wasteful number, since it uses less digits than its factorization.

120350767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 120350767680 in words is "one hundred twenty billion, three hundred fifty million, seven hundred sixty-seven thousand, six hundred eighty".