122212012201120 has 576 divisors, whose sum is σ = 320344053361920. Its totient is φ = 43992593842176.

The previous prime is 122212012201087. The next prime is 122212012201121. The reversal of 122212012201120 is 21102210212221.

122212012201120 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 (19).

It is not an unprimeable number, because it can be changed into a prime (122212012201121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61505792767 + ... + 61505794753.

It is an arithmetic number, because the mean of its divisors is an integer number (556152870420).

Almost surely, 2^{122212012201120} is an apocalyptic number.

122212012201120 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 122212012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160172026680960).

122212012201120 is an abundant number, since it is smaller than the sum of its proper divisors (198132041160800).

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

122212012201120 is a wasteful number, since it uses less digits than its factorization.

122212012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122212012201120 its reverse (21102210212221), we get a palindrome (143314222413341).

The spelling of 122212012201120 in words is "one hundred twenty-two trillion, two hundred twelve billion, twelve million, two hundred one thousand, one hundred twenty".