20012122201120 has 96 divisors (see below), whose sum is σ = 54033549897600. Its totient is φ = 6861194919936.

The previous prime is 20012122201111. The next prime is 20012122201129. The reversal of 20012122201120 is 2110222121002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20012122201111) and next prime (20012122201129).

It is a super-3 number, since 3×20012122201120³ (a number of 41 digits) contains 333 as substring.

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 = 20012122201094 and 20012122201103.

It is not an unprimeable number, because it can be changed into a prime (20012122201129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126412576 + ... + 126570784.

It is an arithmetic number, because the mean of its divisors is an integer number (562849478100).

Almost surely, 2^{20012122201120} is an apocalyptic number.

20012122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012122201120 is an abundant number, since it is smaller than the sum of its proper divisors (34021427696480).

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

20012122201120 is a wasteful number, since it uses less digits than its factorization.

20012122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271170 (or 271162 counting only the distinct ones).

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

Adding to 20012122201120 its reverse (2110222121002), we get a palindrome (22122344322122).

The spelling of 20012122201120 in words is "twenty trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".