12127266216 has 160 divisors (see below), whose sum is σ = 37761292800. Its totient is φ = 3611018880.

The previous prime is 12127266209. The next prime is 12127266233. The reversal of 12127266216 is 61266272121.

It is a happy number.

12127266216 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 7 + 26 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237925 + ... + 284363.

It is an arithmetic number, because the mean of its divisors is an integer number (236008080).

Almost surely, 2^12127266216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127266216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880646400).

12127266216 is an abundant number, since it is smaller than the sum of its proper divisors (25634026584).

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

12127266216 is a wasteful number, since it uses less digits than its factorization.

12127266216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46501 (or 46488 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 12127266216 in words is "twelve billion, one hundred twenty-seven million, two hundred sixty-six thousand, two hundred sixteen".