12221122101120 has 384 divisors, whose sum is σ = 44705152571040. Its totient is φ = 3065774211072.

The previous prime is 12221122101119. The next prime is 12221122101127. The reversal of 12221122101120 is 2110122112221.

12221122101120 is a `hidden beast` number, since 1 + 222 + 112 + 210 + 1 + 120 = 666.

12221122101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 12221122101093 and 12221122101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221122101127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209225839 + ... + 209284241.

Almost surely, 2^{12221122101120} is an apocalyptic number.

12221122101120 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 12221122101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352576285520).

12221122101120 is an abundant number, since it is smaller than the sum of its proper divisors (32484030469920).

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

12221122101120 is a wasteful number, since it uses less digits than its factorization.

12221122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60582 (or 60567 counting only the distinct ones).

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

Adding to 12221122101120 its reverse (2110122112221), we get a palindrome (14331244213341).

The spelling of 12221122101120 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".