122122022002020 has 432 divisors, whose sum is σ = 402511711650048. Its totient is φ = 29951061442560.

The previous prime is 122122022002007. The next prime is 122122022002027. The reversal of 122122022002020 is 20200220221221.

122122022002020 is a `hidden beast` number, since 1 + 2 + 21 + 220 + 220 + 0 + 202 + 0 = 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 = 122122022001984 and 122122022002002.

It is not an unprimeable number, because it can be changed into a prime (122122022002027) 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 143 ways as a sum of consecutive naturals, for example, 1572057580 + ... + 1572135260.

It is an arithmetic number, because the mean of its divisors is an integer number (931740073264).

Almost surely, 2^{122122022002020} is an apocalyptic number.

122122022002020 is a gapful number since it is divisible by the number (10) 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 122122022002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201255855825024).

122122022002020 is an abundant number, since it is smaller than the sum of its proper divisors (280389689648028).

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

122122022002020 is a wasteful number, since it uses less digits than its factorization.

122122022002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78420 (or 78398 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122122022002020 its reverse (20200220221221), we get a palindrome (142322242223241).

The spelling of 122122022002020 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-two million, two thousand, twenty".