122120120000000 has 320 divisors, whose sum is σ = 305676412778880. Its totient is φ = 48739968000000.

The previous prime is 122120119999961. The next prime is 122120120000023. The reversal of 122120120000000 is 21021221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19479996866 + ... + 19480003134.

It is an arithmetic number, because the mean of its divisors is an integer number (955238789934).

Almost surely, 2^{122120120000000} is an apocalyptic number.

122120120000000 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 122120120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152838206389440).

122120120000000 is an abundant number, since it is smaller than the sum of its proper divisors (183556292778880).

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

122120120000000 is an frugal number, since it uses more digits than its factorization.

122120120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122120120000000 its reverse (21021221), we get a palindrome (122120141021221).

The spelling of 122120120000000 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million", and thus it is an aban number.