6121456500 has 144 divisors (see below), whose sum is σ = 18197000640. Its totient is φ = 1598619200.

The previous prime is 6121456493. The next prime is 6121456501. The reversal of 6121456500 is 56541216.

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 (6121456501) 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 47 ways as a sum of consecutive naturals, for example, 23275369 + ... + 23275631.

It is an arithmetic number, because the mean of its divisors is an integer number (126368060).

Almost surely, 2^6121456500 is an apocalyptic number.

6121456500 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 6121456500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098500320).

6121456500 is an abundant number, since it is smaller than the sum of its proper divisors (12075544140).

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

6121456500 is a wasteful number, since it uses less digits than its factorization.

6121456500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6121456500 is about 78239.7373461849. The cubic root of 6121456500 is about 1829.2999502185.

Adding to 6121456500 its reverse (56541216), we get a palindrome (6177997716).

The spelling of 6121456500 in words is "six billion, one hundred twenty-one million, four hundred fifty-six thousand, five hundred".