122221020012 has 96 divisors (see below), whose sum is σ = 351272140800. Its totient is φ = 32208544512.

The previous prime is 122221019953. The next prime is 122221020017. The reversal of 122221020012 is 210020122221.

It is a junction number, because it is equal to n+sod(n) for n = 122221019973 and 122221020000.

It is not an unprimeable number, because it can be changed into a prime (122221020017) 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 31 ways as a sum of consecutive naturals, for example, 1352914 + ... + 1440422.

It is an arithmetic number, because the mean of its divisors is an integer number (3659084800).

Almost surely, 2^122221020012 is an apocalyptic number.

122221020012 is a gapful number since it is divisible by the number (12) 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 122221020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175636070400).

122221020012 is an abundant number, since it is smaller than the sum of its proper divisors (229051120788).

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

122221020012 is a wasteful number, since it uses less digits than its factorization.

122221020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88815 (or 88813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122221020012 its reverse (210020122221), we get a palindrome (332241142233).

The spelling of 122221020012 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty thousand, twelve".