122120112211020 has 864 divisors, whose sum is σ = 497082902464512. Its totient is φ = 23958063360000.

The previous prime is 122120112211001. The next prime is 122120112211039. The reversal of 122120112211020 is 20112211021221.

122120112211020 is a `hidden beast` number, since 1 + 221 + 201 + 1 + 221 + 1 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (122120112211001) and next prime (122120112211039).

It is a super-2 number, since 2×122120112211020² (a number of 29 digits) contains 22 as substring.

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 = 122120112210984 and 122120112211002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122817255 + ... + 123807585.

It is an arithmetic number, because the mean of its divisors is an integer number (575327433408).

Almost surely, 2^{122120112211020} is an apocalyptic number.

122120112211020 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 122120112211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248541451232256).

122120112211020 is an abundant number, since it is smaller than the sum of its proper divisors (374962790253492).

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

122120112211020 is a wasteful number, since it uses less digits than its factorization.

122120112211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990443 (or 990431 counting only the distinct ones).

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

Adding to 122120112211020 its reverse (20112211021221), we get a palindrome (142232323232241).

The spelling of 122120112211020 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twelve million, two hundred eleven thousand, twenty".