12221011121220 has 288 divisors, whose sum is σ = 40686946320384. Its totient is φ = 2944636780800.

The previous prime is 12221011121203. The next prime is 12221011121233. The reversal of 12221011121220 is 2212111012221.

12221011121220 is a `hidden beast` number, since 1 + 222 + 101 + 1 + 121 + 220 = 666.

It is a super-2 number, since 2×12221011121220² (a number of 27 digits) contains 22 as substring.

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 = 12221011121193 and 12221011121202.

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, 462500929 + ... + 462527351.

It is an arithmetic number, because the mean of its divisors is an integer number (141274119168).

Almost surely, 2^{12221011121220} is an apocalyptic number.

12221011121220 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 12221011121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343473160192).

12221011121220 is an abundant number, since it is smaller than the sum of its proper divisors (28465935199164).

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

12221011121220 is a wasteful number, since it uses less digits than its factorization.

12221011121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221011121220 its reverse (2212111012221), we get a palindrome (14433122133441).

The spelling of 12221011121220 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, two hundred twenty".