20121120001220 has 384 divisors, whose sum is σ = 51674109096960. Its totient is φ = 6435108126720.

The previous prime is 20121120001211. The next prime is 20121120001243. The reversal of 20121120001220 is 2210002112102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20121120001195 and 20121120001204.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12474345134 + ... + 12474346746.

It is an arithmetic number, because the mean of its divisors is an integer number (134567992440).

Almost surely, 2^{20121120001220} is an apocalyptic number.

20121120001220 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 20121120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837054548480).

20121120001220 is an abundant number, since it is smaller than the sum of its proper divisors (31552989095740).

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

20121120001220 is a wasteful number, since it uses less digits than its factorization.

20121120001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121120001220 its reverse (2210002112102), we get a palindrome (22331122113322).

The spelling of 20121120001220 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, one thousand, two hundred twenty".