12211010201120 has 192 divisors, whose sum is σ = 29964403768320. Its totient is φ = 4696872542208.

The previous prime is 12211010201081. The next prime is 12211010201147. The reversal of 12211010201120 is 2110201011221.

It is a junction number, because it is equal to n+sod(n) for n = 12211010201095 and 12211010201104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401465884 + ... + 1401474596.

It is an arithmetic number, because the mean of its divisors is an integer number (156064602960).

Almost surely, 2^{12211010201120} is an apocalyptic number.

12211010201120 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 12211010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982201884160).

12211010201120 is an abundant number, since it is smaller than the sum of its proper divisors (17753393567200).

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

12211010201120 is a wasteful number, since it uses less digits than its factorization.

12211010201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211010201120 its reverse (2110201011221), we get a palindrome (14321211212341).

The spelling of 12211010201120 in words is "twelve trillion, two hundred eleven billion, ten million, two hundred one thousand, one hundred twenty".