20211122120 has 288 divisors, whose sum is σ = 56136379320. Its totient is φ = 6528614400.

The previous prime is 20211122101. The next prime is 20211122123. The reversal of 20211122120 is 2122111202.

It can be written as a sum of positive squares in 4 ways, for example, as 18377055844 + 1834066276 = 135562^2 + 42826^2 .

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 = 20211122095 and 20211122104.

It is not an unprimeable number, because it can be changed into a prime (20211122123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 104720744 + ... + 104720936.

Almost surely, 2^20211122120 is an apocalyptic number.

20211122120 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 20211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068189660).

20211122120 is an abundant number, since it is smaller than the sum of its proper divisors (35925257200).

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

20211122120 is a wasteful number, since it uses less digits than its factorization.

20211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

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

Adding to 20211122120 its reverse (2122111202), we get a palindrome (22333233322).

The spelling of 20211122120 in words is "twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".