12200122220220 has 288 divisors, whose sum is σ = 40870816406784. Its totient is φ = 2921034700800.

The previous prime is 12200122220203. The next prime is 12200122220239. The reversal of 12200122220220 is 2202222100221.

12200122220220 is a `hidden beast` number, since 1 + 2 + 200 + 1 + 22 + 220 + 220 = 666.

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 = 12200122220193 and 12200122220202.

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, 606568884 + ... + 606588996.

It is an arithmetic number, because the mean of its divisors is an integer number (141912556968).

Almost surely, 2^{12200122220220} is an apocalyptic number.

12200122220220 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 12200122220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435408203392).

12200122220220 is an abundant number, since it is smaller than the sum of its proper divisors (28670694186564).

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

12200122220220 is a wasteful number, since it uses less digits than its factorization.

12200122220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23913 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200122220220 its reverse (2202222100221), we get a palindrome (14402344320441).

The spelling of 12200122220220 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty".