12221144460 has 192 divisors, whose sum is σ = 43902243840. Its totient is φ = 2764523520.

The previous prime is 12221144459. The next prime is 12221144471. The reversal of 12221144460 is 6444112221.

12221144460 is a `hidden beast` number, since 1 + 2 + 2 + 211 + 4 + 446 + 0 = 666.

It is a super-3 number, since 3×12221144460³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 349995 + ... + 383325.

It is an arithmetic number, because the mean of its divisors is an integer number (228657520).

Almost surely, 2^12221144460 is an apocalyptic number.

12221144460 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 12221144460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951121920).

12221144460 is an abundant number, since it is smaller than the sum of its proper divisors (31681099380).

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

12221144460 is a wasteful number, since it uses less digits than its factorization.

12221144460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33453 (or 33445 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12221144460 its reverse (6444112221), we get a palindrome (18665256681).

The spelling of 12221144460 in words is "twelve billion, two hundred twenty-one million, one hundred forty-four thousand, four hundred sixty".