122121212110120 has 256 divisors, whose sum is σ = 298192595754240. Its totient is φ = 44842656595968.

The previous prime is 122121212110109. The next prime is 122121212110133. The reversal of 122121212110120 is 21011212121221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5318161759 + ... + 5318184721.

It is an arithmetic number, because the mean of its divisors is an integer number (1164814827165).

Almost surely, 2^{122121212110120} is an apocalyptic number.

122121212110120 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 122121212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149096297877120).

122121212110120 is an abundant number, since it is smaller than the sum of its proper divisors (176071383644120).

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

122121212110120 is a wasteful number, since it uses less digits than its factorization.

122121212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24204 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122121212110120 its reverse (21011212121221), we get a palindrome (143132424231341).

The spelling of 122121212110120 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".