16122800 has 60 divisors (see below), whose sum is σ = 41030856. Its totient is φ = 6067200.

The previous prime is 16122797. The next prime is 16122803. The reversal of 16122800 is 822161.

It is an interprime number because it is at equal distance from previous prime (16122797) and next prime (16122803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (16122803) 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 11 ways as a sum of consecutive naturals, for example, 5615 + ... + 7985.

Almost surely, 2^16122800 is an apocalyptic number.

16122800 is a gapful number since it is divisible by the number (10) 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 16122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20515428).

16122800 is an abundant number, since it is smaller than the sum of its proper divisors (24908056).

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

16122800 is a wasteful number, since it uses less digits than its factorization.

16122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 16122800 is about 4015.3206596734. The cubic root of 16122800 is about 252.6272273251.

Adding to 16122800 its reverse (822161), we get a palindrome (16944961).

The spelling of 16122800 in words is "sixteen million, one hundred twenty-two thousand, eight hundred".