4122000 has 120 divisors (see below), whose sum is σ = 14459640. Its totient is φ = 1094400.

The previous prime is 4121987. The next prime is 4122043. The reversal of 4122000 is 2214.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 4112784 = 96^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17886 + ... + 18114.

It is an arithmetic number, because the mean of its divisors is an integer number (120497).

Almost surely, 2^4122000 is an apocalyptic number.

4122000 is a gapful number since it is divisible by the number (40) 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 4122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229820).

4122000 is an abundant number, since it is smaller than the sum of its proper divisors (10337640).

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

4122000 is a wasteful number, since it uses less digits than its factorization.

4122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4122000 is about 2030.2709178826. The cubic root of 4122000 is about 160.3378278667.

Adding to 4122000 its reverse (2214), we get a palindrome (4124214).

The spelling of 4122000 in words is "four million, one hundred twenty-two thousand".