122111020220220 has 288 divisors, whose sum is σ = 383788823483520. Its totient is φ = 31389828341760.

The previous prime is 122111020220179. The next prime is 122111020220257. The reversal of 122111020220220 is 22022020111221.

It is a happy number.

122111020220220 is a `hidden beast` number, since 1 + 2 + 211 + 10 + 2 + 0 + 220 + 220 = 666.

It is a super-2 number, since 2×122111020220220² (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 = 122111020220193 and 122111020220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12561564960 + ... + 12561574680.

It is an arithmetic number, because the mean of its divisors is an integer number (1332600081540).

Almost surely, 2^{122111020220220} is an apocalyptic number.

122111020220220 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 122111020220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191894411741760).

122111020220220 is an abundant number, since it is smaller than the sum of its proper divisors (261677803263300).

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

122111020220220 is a wasteful number, since it uses less digits than its factorization.

122111020220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13360 counting only the distinct ones).

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

Adding to 122111020220220 its reverse (22022020111221), we get a palindrome (144133040331441).

The spelling of 122111020220220 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty million, two hundred twenty thousand, two hundred twenty".