6122000 has 40 divisors (see below), whose sum is σ = 14807832. Its totient is φ = 2448000.

The previous prime is 6121957. The next prime is 6122029. The reversal of 6122000 is 2216.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 6091024 = 176^2 + 2468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 3530.

Almost surely, 2^6122000 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 6122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403916).

6122000 is an abundant number, since it is smaller than the sum of its proper divisors (8685832).

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

6122000 is a wasteful number, since it uses less digits than its factorization.

6122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6122000 is about 2474.2675683927. The cubic root of 6122000 is about 182.9354087394.

Adding to 6122000 its reverse (2216), we get a palindrome (6124216).

The spelling of 6122000 in words is "six million, one hundred twenty-two thousand".