16121416000 has 56 divisors (see below), whose sum is σ = 39924706536. Its totient is φ = 6448563200.

The previous prime is 16121415971. The next prime is 16121416009. The reversal of 16121416000 is 61412161.

It can be written as a sum of positive squares in 4 ways, for example, as 75620416 + 16045795584 = 8696^2 + 126672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121416009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999589 + ... + 1015588.

Almost surely, 2^16121416000 is an apocalyptic number.

16121416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16121416000 is an abundant number, since it is smaller than the sum of its proper divisors (23803290536).

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

16121416000 is an equidigital number, since it uses as much as digits as its factorization.

16121416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015204 (or 2015184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 16121416000 its reverse (61412161), we get a palindrome (16182828161).

The spelling of 16121416000 in words is "sixteen billion, one hundred twenty-one million, four hundred sixteen thousand".