12214101201120 has 768 divisors, whose sum is σ = 52633862830080. Its totient is φ = 2576097312768.

The previous prime is 12214101201073. The next prime is 12214101201173. The reversal of 12214101201120 is 2110210141221.

12214101201120 is a `hidden beast` number, since 1 + 2 + 21 + 410 + 120 + 112 + 0 = 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 = 12214101201093 and 12214101201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1787513224 + ... + 1787520056.

It is an arithmetic number, because the mean of its divisors is an integer number (68533675560).

Almost surely, 2^{12214101201120} is an apocalyptic number.

12214101201120 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 12214101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316931415040).

12214101201120 is an abundant number, since it is smaller than the sum of its proper divisors (40419761628960).

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

12214101201120 is a wasteful number, since it uses less digits than its factorization.

12214101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11410 counting only the distinct ones).

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

Adding to 12214101201120 its reverse (2110210141221), we get a palindrome (14324311342341).

The spelling of 12214101201120 in words is "twelve trillion, two hundred fourteen billion, one hundred one million, two hundred one thousand, one hundred twenty".