20121122322 has 192 divisors, whose sum is σ = 54560563200. Its totient is φ = 5229515520.

The previous prime is 20121122317. The next prime is 20121122383. The reversal of 20121122322 is 22322112102.

20121122322 is a `hidden beast` number, since 201 + 21 + 122 + 322 = 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 = 20121122295 and 20121122304.

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, 10166329 + ... + 10168307.

It is an arithmetic number, because the mean of its divisors is an integer number (284169600).

Almost surely, 2^20121122322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27280281600).

20121122322 is an abundant number, since it is smaller than the sum of its proper divisors (34439440878).

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

20121122322 is a wasteful number, since it uses less digits than its factorization.

20121122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121122322 its reverse (22322112102), we get a palindrome (42443234424).

The spelling of 20121122322 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty-two".