12221133120 has 336 divisors, whose sum is σ = 50154108480. Its totient is φ = 2793305088.

The previous prime is 12221133103. The next prime is 12221133139. The reversal of 12221133120 is 2133112221.

12221133120 is a `hidden beast` number, since 122 + 211 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221133093 and 12221133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408927 + ... + 437793.

It is an arithmetic number, because the mean of its divisors is an integer number (149268180).

Almost surely, 2^12221133120 is an apocalyptic number.

12221133120 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 12221133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25077054240).

12221133120 is an abundant number, since it is smaller than the sum of its proper divisors (37932975360).

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

12221133120 is a wasteful number, since it uses less digits than its factorization.

12221133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28907 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12221133120 its reverse (2133112221), we get a palindrome (14354245341).

The spelling of 12221133120 in words is "twelve billion, two hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".