16221312135 has 96 divisors (see below), whose sum is σ = 33002311680. Its totient is φ = 7217683200.

The previous prime is 16221312113. The next prime is 16221312157. The reversal of 16221312135 is 53121312261.

16221312135 is a `hidden beast` number, since 1 + 622 + 1 + 3 + 1 + 2 + 1 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (16221312113) and next prime (16221312157).

It is not a de Polignac number, because 16221312135 - 2⁶ = 16221312071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16221312099 and 16221312108.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1762245 + ... + 1771425.

It is an arithmetic number, because the mean of its divisors is an integer number (343774080).

Almost surely, 2^16221312135 is an apocalyptic number.

16221312135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16221312135 is an abundant number, since it is smaller than the sum of its proper divisors (16780999545).

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

16221312135 is a wasteful number, since it uses less digits than its factorization.

16221312135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9346 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 16221312135 its reverse (53121312261), we get a palindrome (69342624396).

The spelling of 16221312135 in words is "sixteen billion, two hundred twenty-one million, three hundred twelve thousand, one hundred thirty-five".