12211255680 has 512 divisors, whose sum is σ = 44416512000. Its totient is φ = 2830958592.

The previous prime is 12211255643. The next prime is 12211255699. The reversal of 12211255680 is 8655211221.

It is a super-2 number, since 2×12211255680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51093001 + ... + 51093239.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 2^12211255680 is an apocalyptic number.

12211255680 is a gapful number since it is divisible by the number (10) 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 12211255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256000).

12211255680 is an abundant number, since it is smaller than the sum of its proper divisors (32205256320).

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

12211255680 is a wasteful number, since it uses less digits than its factorization.

12211255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 12211255680 in words is "twelve billion, two hundred eleven million, two hundred fifty-five thousand, six hundred eighty".