20121002221120 has 56 divisors (see below), whose sum is σ = 47913849474624. Its totient is φ = 8048281130496.

The previous prime is 20121002221051. The next prime is 20121002221153. The reversal of 20121002221120 is 2112220012102.

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 = 20121002221094 and 20121002221103.

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 7 ways as a sum of consecutive naturals, for example, 22891197 + ... + 23753923.

It is an arithmetic number, because the mean of its divisors is an integer number (855604454904).

Almost surely, 2^{20121002221120} is an apocalyptic number.

20121002221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121002221120 is an abundant number, since it is smaller than the sum of its proper divisors (27792847253504).

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

20121002221120 is an equidigital number, since it uses as much as digits as its factorization.

20121002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935627 (or 935617 counting only the distinct ones).

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

Adding to 20121002221120 its reverse (2112220012102), we get a palindrome (22233222233222).

The spelling of 20121002221120 in words is "twenty trillion, one hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred twenty".