120435079680 has 240 divisors, whose sum is σ = 417470717664. Its totient is φ = 32087531520.

The previous prime is 120435079651. The next prime is 120435079717. The reversal of 120435079680 is 86970534021.

120435079680 is a `hidden beast` number, since 1 + 20 + 43 + 507 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44488887 + ... + 44491593.

It is a 2-persistent number, because it is pandigital, and so is 2⋅120435079680 = 240870159360, but 3⋅120435079680 = 361305239040 is not.

Almost surely, 2^120435079680 is an apocalyptic number.

120435079680 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 120435079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208735358832).

120435079680 is an abundant number, since it is smaller than the sum of its proper divisors (297035637984).

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

120435079680 is a wasteful number, since it uses less digits than its factorization.

120435079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 120435079680 in words is "one hundred twenty billion, four hundred thirty-five million, seventy-nine thousand, six hundred eighty".