120816450 has 108 divisors (see below), whose sum is σ = 345181590. Its totient is φ = 30289920.

The previous prime is 120816439. The next prime is 120816457. The reversal of 120816450 is 54618021.

120816450 is a `hidden beast` number, since 1 + 208 + 1 + 6 + 450 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5919489 + 114896961 = 2433^2 + 10719^2 .

It is a super-3 number, since 3×120816450³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120816457) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 129586 + ... + 130514.

Almost surely, 2^120816450 is an apocalyptic number.

120816450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120816450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172590795).

120816450 is an abundant number, since it is smaller than the sum of its proper divisors (224365140).

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

120816450 is a wasteful number, since it uses less digits than its factorization.

120816450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120816450 is about 10991.6536517487. The cubic root of 120816450 is about 494.3585201398.

The spelling of 120816450 in words is "one hundred twenty million, eight hundred sixteen thousand, four hundred fifty".