122221021201020 has 144 divisors (see below), whose sum is σ = 423704814536640. Its totient is φ = 27935885657088.

The previous prime is 122221021200989. The next prime is 122221021201043. The reversal of 122221021201020 is 20102120122221.

It is a happy number.

122221021201020 is a `hidden beast` number, since 1 + 222 + 210 + 212 + 0 + 1 + 0 + 20 = 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 = 122221021200984 and 122221021201002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 108471096 + ... + 109592064.

Almost surely, 2^{122221021201020} is an apocalyptic number.

122221021201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221021201020 is an abundant number, since it is smaller than the sum of its proper divisors (301483793335620).

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

122221021201020 is a wasteful number, since it uses less digits than its factorization.

122221021201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207524 (or 1207519 counting only the distinct ones).

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

Adding to 122221021201020 its reverse (20102120122221), we get a palindrome (142323141323241).

The spelling of 122221021201020 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-one million, two hundred one thousand, twenty".