20120222122020 has 288 divisors, whose sum is σ = 62303522561280. Its totient is φ = 5254865280000.

The previous prime is 20120222122019. The next prime is 20120222122067. The reversal of 20120222122020 is 2022122202102.

20120222122020 is a `hidden beast` number, since 2 + 0 + 1 + 202 + 221 + 220 + 20 = 666.

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 = 20120222121984 and 20120222122002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1250394175 + ... + 1250410265.

It is an arithmetic number, because the mean of its divisors is an integer number (216331675560).

Almost surely, 2^{20120222122020} is an apocalyptic number.

20120222122020 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 20120222122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31151761280640).

20120222122020 is an abundant number, since it is smaller than the sum of its proper divisors (42183300439260).

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

20120222122020 is a wasteful number, since it uses less digits than its factorization.

20120222122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16947 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20120222122020 its reverse (2022122202102), we get a palindrome (22142344324122).

The spelling of 20120222122020 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty".