122111121121220 has 48 divisors (see below), whose sum is σ = 319709117121408. Its totient is φ = 38060609180160.

The previous prime is 122111121121207. The next prime is 122111121121229. The reversal of 122111121121220 is 22121121111221.

It is a happy number.

It is a super-2 number, since 2×122111121121220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122111121121192 and 122111121121201.

It is not an unprimeable number, because it can be changed into a prime (122111121121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39646466357 + ... + 39646469436.

It is an arithmetic number, because the mean of its divisors is an integer number (6660606606696).

Almost surely, 2^{122111121121220} is an apocalyptic number.

122111121121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111121121220 is an abundant number, since it is smaller than the sum of its proper divisors (197597996000188).

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

122111121121220 is a wasteful number, since it uses less digits than its factorization.

122111121121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79292935820 (or 79292935818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122111121121220 its reverse (22121121111221), we get a palindrome (144232242232441).

Subtracting from 122111121121220 its reverse (22121121111221), we obtain a palindrome (99990000009999).

The spelling of 122111121121220 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".