6123083121120 has 768 divisors, whose sum is σ = 23176013414400. Its totient is φ = 1329336852480.

The previous prime is 6123083121097. The next prime is 6123083121121. The reversal of 6123083121120 is 211213803216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123083121121) 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 127 ways as a sum of consecutive naturals, for example, 2363211025 + ... + 2363213615.

It is an arithmetic number, because the mean of its divisors is an integer number (30177100800).

Almost surely, 2^{6123083121120} is an apocalyptic number.

6123083121120 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 6123083121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588006707200).

6123083121120 is an abundant number, since it is smaller than the sum of its proper divisors (17052930293280).

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

6123083121120 is a wasteful number, since it uses less digits than its factorization.

6123083121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 6123083121120 its reverse (211213803216), we get a palindrome (6334296924336).

The spelling of 6123083121120 in words is "six trillion, one hundred twenty-three billion, eighty-three million, one hundred twenty-one thousand, one hundred twenty".