12001235616 has 96 divisors (see below), whose sum is σ = 35397129600. Its totient is φ = 3955438080.

The previous prime is 12001235593. The next prime is 12001235621. The reversal of 12001235616 is 61653210021.

12001235616 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 12 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12001235616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140 + ... + 154931.

It is an arithmetic number, because the mean of its divisors is an integer number (368720100).

Almost surely, 2^12001235616 is an apocalyptic number.

12001235616 is a gapful number since it is divisible by the number (16) 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 12001235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698564800).

12001235616 is an abundant number, since it is smaller than the sum of its proper divisors (23395893984).

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

12001235616 is a wasteful number, since it uses less digits than its factorization.

12001235616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156179 (or 156165 counting only the distinct ones).

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

Adding to 12001235616 its reverse (61653210021), we get a palindrome (73654445637).

The spelling of 12001235616 in words is "twelve billion, one million, two hundred thirty-five thousand, six hundred sixteen".