16012201200 has 120 divisors (see below), whose sum is σ = 51576500976. Its totient is φ = 4246272000.

The previous prime is 16012201199. The next prime is 16012201207. The reversal of 16012201200 is 210221061.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16012201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16012201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180340 + ... + 254060.

Almost surely, 2^16012201200 is an apocalyptic number.

16012201200 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 16012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788250488).

16012201200 is an abundant number, since it is smaller than the sum of its proper divisors (35564299776).

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

16012201200 is a wasteful number, since it uses less digits than its factorization.

16012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73923 (or 73912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 16012201200 its reverse (210221061), we get a palindrome (16222422261).

The spelling of 16012201200 in words is "sixteen billion, twelve million, two hundred one thousand, two hundred".