8100450120 has 192 divisors, whose sum is σ = 29312737920. Its totient is φ = 1754016768.

The previous prime is 8100450089. The next prime is 8100450131. The reversal of 8100450120 is 210540018.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289884 + ... + 316596.

It is an arithmetic number, because the mean of its divisors is an integer number (152670510).

Almost surely, 2^8100450120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656368960).

8100450120 is an abundant number, since it is smaller than the sum of its proper divisors (21212287800).

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

8100450120 is a wasteful number, since it uses less digits than its factorization.

8100450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26772 (or 26749 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8100450120 is about 90002.5006319269. The cubic root of 8100450120 is about 2008.3360501944.

Adding to 8100450120 its reverse (210540018), we get a palindrome (8310990138).

The spelling of 8100450120 in words is "eight billion, one hundred million, four hundred fifty thousand, one hundred twenty".