6350121120 has 384 divisors, whose sum is σ = 23688806400. Its totient is φ = 1399836672.

The previous prime is 6350121103. The next prime is 6350121121. The reversal of 6350121120 is 211210536.

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

It is not an unprimeable number, because it can be changed into a prime (6350121121) 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 63 ways as a sum of consecutive naturals, for example, 12475426 + ... + 12475934.

It is an arithmetic number, because the mean of its divisors is an integer number (61689600).

Almost surely, 2^6350121120 is an apocalyptic number.

6350121120 is a gapful number since it is divisible by the number (60) 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 6350121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844403200).

6350121120 is an abundant number, since it is smaller than the sum of its proper divisors (17338685280).

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

6350121120 is a wasteful number, since it uses less digits than its factorization.

6350121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6350121120 is about 79687.6472233934. The cubic root of 6350121120 is about 1851.7996726283.

Adding to 6350121120 its reverse (211210536), we get a palindrome (6561331656).

The spelling of 6350121120 in words is "six billion, three hundred fifty million, one hundred twenty-one thousand, one hundred twenty".