16120314000 has 600 divisors, whose sum is σ = 65858882232. Its totient is φ = 3674764800.

The previous prime is 16120313983. The next prime is 16120314011. The reversal of 16120314000 is 41302161.

It is a happy number.

16120314000 is a `hidden beast` number, since 1 + 61 + 203 + 1 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 581195664 + 15539118336 = 24108^2 + 124656^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43217814 + ... + 43218186.

Almost surely, 2^16120314000 is an apocalyptic number.

16120314000 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 16120314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32929441116).

16120314000 is an abundant number, since it is smaller than the sum of its proper divisors (49738568232).

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

16120314000 is an equidigital number, since it uses as much as digits as its factorization.

16120314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 16120314000 its reverse (41302161), we get a palindrome (16161616161).

The spelling of 16120314000 in words is "sixteen billion, one hundred twenty million, three hundred fourteen thousand".