12017637216 has 288 divisors, whose sum is σ = 38071156032. Its totient is φ = 3572674560.

The previous prime is 12017637193. The next prime is 12017637217. The reversal of 12017637216 is 61273671021.

It is a happy number.

12017637216 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 7 + 637 + 2 + 16 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12017637217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14088246 + ... + 14089098.

It is an arithmetic number, because the mean of its divisors is an integer number (132191514).

Almost surely, 2^12017637216 is an apocalyptic number.

12017637216 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 12017637216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035578016).

12017637216 is an abundant number, since it is smaller than the sum of its proper divisors (26053518816).

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

12017637216 is a wasteful number, since it uses less digits than its factorization.

12017637216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12017637216 in words is "twelve billion, seventeen million, six hundred thirty-seven thousand, two hundred sixteen".