122022121201020 has 192 divisors, whose sum is σ = 389475148608000. Its totient is φ = 31704641805312.

The previous prime is 122022121200901. The next prime is 122022121201021. The reversal of 122022121201020 is 20102121220221.

It is a happy number.

122022121201020 is a `hidden beast` number, since 1 + 220 + 221 + 2 + 1 + 201 + 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 = 122022121200984 and 122022121201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022121201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13346490 + ... + 20546849.

It is an arithmetic number, because the mean of its divisors is an integer number (2028516399000).

Almost surely, 2^{122022121201020} is an apocalyptic number.

122022121201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022121201020 is an abundant number, since it is smaller than the sum of its proper divisors (267453027406980).

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

122022121201020 is a wasteful number, since it uses less digits than its factorization.

122022121201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33893529 (or 33893521 counting only the distinct ones).

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

Adding to 122022121201020 its reverse (20102121220221), we get a palindrome (142124242421241).

The spelling of 122022121201020 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-one million, two hundred one thousand, twenty".