12884211936 has 72 divisors (see below), whose sum is σ = 36713313000. Its totient is φ = 4286082816.

The previous prime is 12884211913. The next prime is 12884211947. The reversal of 12884211936 is 63911248821.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12884211891 and 12884211900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98886 + ... + 188538.

It is an arithmetic number, because the mean of its divisors is an integer number (509907125).

Almost surely, 2^12884211936 is an apocalyptic number.

12884211936 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 12884211936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18356656500).

12884211936 is an abundant number, since it is smaller than the sum of its proper divisors (23829101064).

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

12884211936 is a wasteful number, since it uses less digits than its factorization.

12884211936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90168 (or 90157 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 12884211936 in words is "twelve billion, eight hundred eighty-four million, two hundred eleven thousand, nine hundred thirty-six".