6121800 has 144 divisors (see below), whose sum is σ = 21762000. Its totient is φ = 1537920.

The previous prime is 6121799. The next prime is 6121807. The reversal of 6121800 is 81216.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6121807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34111 + ... + 34289.

It is an arithmetic number, because the mean of its divisors is an integer number (151125).

Almost surely, 2^6121800 is an apocalyptic number.

6121800 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 6121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881000).

6121800 is an abundant number, since it is smaller than the sum of its proper divisors (15640200).

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

6121800 is a wasteful number, since it uses less digits than its factorization.

6121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6121800 is about 2474.2271520618. The cubic root of 6121800 is about 182.9334166083.

The spelling of 6121800 in words is "six million, one hundred twenty-one thousand, eight hundred".