122021221011012 has 36 divisors (see below), whose sum is σ = 315965519451036. Its totient is φ = 39681697889280.

The previous prime is 122021221011007. The next prime is 122021221011023. The reversal of 122021221011012 is 210110122120221.

122021221011012 is a `hidden beast` number, since 1 + 220 + 212 + 210 + 1 + 10 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33436681742916 + 88584539268096 = 5782446^2 + 9411936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41335100493 + ... + 41335103444.

It is an arithmetic number, because the mean of its divisors is an integer number (8776819984751).

Almost surely, 2^{122021221011012} is an apocalyptic number.

122021221011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021221011012 is an abundant number, since it is smaller than the sum of its proper divisors (193944298440024).

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

122021221011012 is a wasteful number, since it uses less digits than its factorization.

122021221011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82670203988 (or 82670203983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122021221011012 its reverse (210110122120221), we get a palindrome (332131343131233).

The spelling of 122021221011012 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty-one million, eleven thousand, twelve".