122222202120 has 384 divisors, whose sum is σ = 439940592000. Its totient is φ = 29307432960.

The previous prime is 122222202119. The next prime is 122222202131. The reversal of 122222202120 is 21202222221.

122222202120 is a `hidden beast` number, since 12 + 222 + 220 + 212 + 0 = 666.

122222202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 122222202093 and 122222202102.

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, 10370391 + ... + 10382169.

It is an arithmetic number, because the mean of its divisors is an integer number (1145678625).

Almost surely, 2^122222202120 is an apocalyptic number.

122222202120 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 122222202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219970296000).

122222202120 is an abundant number, since it is smaller than the sum of its proper divisors (317718389880).

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

122222202120 is a wasteful number, since it uses less digits than its factorization.

122222202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11886 counting only the distinct ones).

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

Adding to 122222202120 its reverse (21202222221), we get a palindrome (143424424341).

The spelling of 122222202120 in words is "one hundred twenty-two billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty".