20112200221122 has 112 divisors (see below), whose sum is σ = 45348939871200. Its totient is φ = 6686709926400.

The previous prime is 20112200221121. The next prime is 20112200221213. The reversal of 20112200221122 is 22112200221102.

It is a happy number.

20112200221122 is a `hidden beast` number, since 201 + 1 + 220 + 0 + 221 + 1 + 22 = 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 = 20112200221095 and 20112200221104.

It is not an unprimeable number, because it can be changed into a prime (20112200221121) 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 55 ways as a sum of consecutive naturals, for example, 3280407997 + ... + 3280414127.

It is an arithmetic number, because the mean of its divisors is an integer number (404901248850).

Almost surely, 2^{20112200221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112200221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674469935600).

20112200221122 is an abundant number, since it is smaller than the sum of its proper divisors (25236739650078).

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

20112200221122 is an equidigital number, since it uses as much as digits as its factorization.

20112200221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11611 (or 11596 counting only the distinct ones).

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

Adding to 20112200221122 its reverse (22112200221102), we get a palindrome (42224400442224).

The spelling of 20112200221122 in words is "twenty trillion, one hundred twelve billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-two".