20121323221120 has 128 divisors (see below), whose sum is σ = 52596694846080. Its totient is φ = 7299945676800.

The previous prime is 20121323221067. The next prime is 20121323221121. The reversal of 20121323221120 is 2112232312102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20121323221091 and 20121323221100.

It is not an unprimeable number, because it can be changed into a prime (20121323221121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 252076 + ... + 6348715.

It is an arithmetic number, because the mean of its divisors is an integer number (410911678485).

Almost surely, 2^{20121323221120} is an apocalyptic number.

20121323221120 is a gapful number since it is divisible by the number (20) 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 20121323221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26298347423040).

20121323221120 is an abundant number, since it is smaller than the sum of its proper divisors (32475371624960).

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

20121323221120 is a wasteful number, since it uses less digits than its factorization.

20121323221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601254 (or 6601242 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20121323221120 its reverse (2112232312102), we get a palindrome (22233555533222).

The spelling of 20121323221120 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".