12210202201120 has 384 divisors, whose sum is σ = 36909947289600. Its totient is φ = 3706924953600.

The previous prime is 12210202201097. The next prime is 12210202201121. The reversal of 12210202201120 is 2110220201221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12210202201094 and 12210202201103.

It is not an unprimeable number, because it can be changed into a prime (12210202201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79152865 + ... + 79306975.

It is an arithmetic number, because the mean of its divisors is an integer number (96119654400).

Almost surely, 2^{12210202201120} is an apocalyptic number.

12210202201120 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 12210202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454973644800).

12210202201120 is an abundant number, since it is smaller than the sum of its proper divisors (24699745088480).

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

12210202201120 is a wasteful number, since it uses less digits than its factorization.

12210202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154312 (or 154304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12210202201120 its reverse (2110220201221), we get a palindrome (14320422402341).

The spelling of 12210202201120 in words is "twelve trillion, two hundred ten billion, two hundred two million, two hundred one thousand, one hundred twenty".