16201200 has 120 divisors (see below), whose sum is σ = 54246528. Its totient is φ = 4125440.

The previous prime is 16201181. The next prime is 16201201. The reversal of 16201200 is 210261.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27307 + ... + 27893.

Almost surely, 2^16201200 is an apocalyptic number.

16201200 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 16201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123264).

16201200 is an abundant number, since it is smaller than the sum of its proper divisors (38045328).

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

16201200 is a wasteful number, since it uses less digits than its factorization.

16201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 16201200 is about 4025.0714279376. The cubic root of 16201200 is about 253.0360470856.

Adding to 16201200 its reverse (210261), we get a palindrome (16411461).

The spelling of 16201200 in words is "sixteen million, two hundred one thousand, two hundred".