12211180800 has 864 divisors, whose sum is σ = 51522535680. Its totient is φ = 2477260800.

The previous prime is 12211180799. The next prime is 12211180837. The reversal of 12211180800 is 808111221.

It is a super-2 number, since 2×12211180800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50668680 + ... + 50668920.

Almost surely, 2^12211180800 is an apocalyptic number.

12211180800 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 12211180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761267840).

12211180800 is an abundant number, since it is smaller than the sum of its proper divisors (39311354880).

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

12211180800 is a wasteful number, since it uses less digits than its factorization.

12211180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 12211180800 in words is "twelve billion, two hundred eleven million, one hundred eighty thousand, eight hundred".