16120015200 has 288 divisors, whose sum is σ = 58447509120. Its totient is φ = 4287859200.

The previous prime is 16120015189. The next prime is 16120015217. The reversal of 16120015200 is 251002161.

16120015200 is a `hidden beast` number, since 1 + 612 + 0 + 0 + 1 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12332947 + ... + 12334253.

It is an arithmetic number, because the mean of its divisors is an integer number (202942740).

Almost surely, 2^16120015200 is an apocalyptic number.

16120015200 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 16120015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29223754560).

16120015200 is an abundant number, since it is smaller than the sum of its proper divisors (42327493920).

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

16120015200 is a wasteful number, since it uses less digits than its factorization.

16120015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 16120015200 its reverse (251002161), we get a palindrome (16371017361).

It can be divided in two parts, 161200 and 15200, that added together give a square (176400 = 420²).

The spelling of 16120015200 in words is "sixteen billion, one hundred twenty million, fifteen thousand, two hundred".