20121012220122 has 96 divisors (see below), whose sum is σ = 47909475694080. Its totient is φ = 6052328100000.

The previous prime is 20121012220117. The next prime is 20121012220129. The reversal of 20121012220122 is 22102221012102.

It is a happy number.

20121012220122 is a `hidden beast` number, since 201 + 210 + 12 + 220 + 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 = 20121012220095 and 20121012220104.

It is not an unprimeable number, because it can be changed into a prime (20121012220129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160968747 + ... + 161093697.

It is an arithmetic number, because the mean of its divisors is an integer number (499057038480).

Almost surely, 2^{20121012220122} is an apocalyptic number.

20121012220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121012220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954737847040).

20121012220122 is an abundant number, since it is smaller than the sum of its proper divisors (27788463473958).

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

20121012220122 is a wasteful number, since it uses less digits than its factorization.

20121012220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130960 (or 130957 counting only the distinct ones).

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

Adding to 20121012220122 its reverse (22102221012102), we get a palindrome (42223233232224).

The spelling of 20121012220122 in words is "twenty trillion, one hundred twenty-one billion, twelve million, two hundred twenty thousand, one hundred twenty-two".