120493783296 has 108 divisors (see below), whose sum is σ = 347541591852. Its totient is φ = 40149762048.

The previous prime is 120493783213. The next prime is 120493783297. The reversal of 120493783296 is 692387394021.

120493783296 is a `hidden beast` number, since 120 + 493 + 7 + 8 + 3 + 29 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81156614400 + 39337168896 = 284880^2 + 198336^2 .

It is not an unprimeable number, because it can be changed into a prime (120493783297) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7496100 + ... + 7512156.

Almost surely, 2^120493783296 is an apocalyptic number.

120493783296 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 120493783296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173770795926).

120493783296 is an abundant number, since it is smaller than the sum of its proper divisors (227047808556).

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

120493783296 is a wasteful number, since it uses less digits than its factorization.

120493783296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 120493783296 in words is "one hundred twenty billion, four hundred ninety-three million, seven hundred eighty-three thousand, two hundred ninety-six".