20012121222120 has 144 divisors (see below), whose sum is σ = 65472997770180. Its totient is φ = 5301221990400.

The previous prime is 20012121222091. The next prime is 20012121222131. The reversal of 20012121222120 is 2122212121002.

It is a happy number.

20012121222120 is a `hidden beast` number, since 200 + 1 + 2 + 121 + 222 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18279164871396 + 1732956350724 = 4275414^2 + 1316418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20012121222093 and 20012121222102.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6989352 + ... + 9427368.

Almost surely, 2^{20012121222120} is an apocalyptic number.

20012121222120 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 20012121222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736498885090).

20012121222120 is an abundant number, since it is smaller than the sum of its proper divisors (45460876548060).

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

20012121222120 is a wasteful number, since it uses less digits than its factorization.

20012121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438336 (or 2438178 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20012121222120 its reverse (2122212121002), we get a palindrome (22134333343122).

The spelling of 20012121222120 in words is "twenty trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".