12212001120 has 192 divisors, whose sum is σ = 43319162880. Its totient is φ = 2864947200.

The previous prime is 12212001047. The next prime is 12212001149. The reversal of 12212001120 is 2110021221.

12212001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12212001096 and 12212001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126376 + ... + 200984.

It is an arithmetic number, because the mean of its divisors is an integer number (225620640).

Almost surely, 2^12212001120 is an apocalyptic number.

12212001120 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 12212001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21659581440).

12212001120 is an abundant number, since it is smaller than the sum of its proper divisors (31107161760).

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

12212001120 is a wasteful number, since it uses less digits than its factorization.

12212001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74669 (or 74661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212001120 its reverse (2110021221), we get a palindrome (14322022341).

The spelling of 12212001120 in words is "twelve billion, two hundred twelve million, one thousand, one hundred twenty".