12211632576 has 1008 divisors, whose sum is σ = 47685106560. Its totient is φ = 3045703680.

The previous prime is 12211632571. The next prime is 12211632599. The reversal of 12211632576 is 67523611221.

12211632576 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 632 + 5 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12211632576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211632571) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642717495 + ... + 642717513.

Almost surely, 2^12211632576 is an apocalyptic number.

12211632576 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 12211632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23842553280).

12211632576 is an abundant number, since it is smaller than the sum of its proper divisors (35473473984).

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

12211632576 is a wasteful number, since it uses less digits than its factorization.

12211632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 12211632576 in words is "twelve billion, two hundred eleven million, six hundred thirty-two thousand, five hundred seventy-six".