4122800 has 60 divisors (see below), whose sum is σ = 10817016. Its totient is φ = 1497600.

The previous prime is 4122779. The next prime is 4122827. The reversal of 4122800 is 82214.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3932 + ... + 4868.

Almost surely, 2^4122800 is an apocalyptic number.

4122800 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 4122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408508).

4122800 is an abundant number, since it is smaller than the sum of its proper divisors (6694216).

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

4122800 is a wasteful number, since it uses less digits than its factorization.

4122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4122800 is about 2030.4679263657. The cubic root of 4122800 is about 160.3482000133.

The spelling of 4122800 in words is "four million, one hundred twenty-two thousand, eight hundred".