120785285376 has 432 divisors, whose sum is σ = 416912227200. Its totient is φ = 34392895488.

The previous prime is 120785285371. The next prime is 120785285459. The reversal of 120785285376 is 673582587021.

120785285376 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 85 + 28 + 537 + 6 = 666.

120785285376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×120785285376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120785285371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170359710 + ... + 170360418.

It is an arithmetic number, because the mean of its divisors is an integer number (965074600).

Almost surely, 2^120785285376 is an apocalyptic number.

120785285376 is a gapful number since it is divisible by the number (16) 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 120785285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208456113600).

120785285376 is an abundant number, since it is smaller than the sum of its proper divisors (296126941824).

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

120785285376 is an equidigital number, since it uses as much as digits as its factorization.

120785285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 120785285376 in words is "one hundred twenty billion, seven hundred eighty-five million, two hundred eighty-five thousand, three hundred seventy-six".